{"title":"A Meir-Keeler Type Common Fixed Point Result in Dislocated Metric Space","authors":"D. Panthi","doi":"10.3126/jnms.v1i2.41503","DOIUrl":"https://doi.org/10.3126/jnms.v1i2.41503","url":null,"abstract":"Meir and E. Keeler [11] generalized the Banach Contraction Principle [1] with the notion of weakly uniformly strict contraction which is famous as a (ε - δ) contraction. In this article, we establish a Meir- Keeler type common fixed point result in dislocated metric space which generalize and extend similar fixed point results in the literature.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130011534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Higher Order Convergent Newton Type Iterative Methods","authors":"Jivandhar Jnawali","doi":"10.3126/jnms.v1i2.41488","DOIUrl":"https://doi.org/10.3126/jnms.v1i2.41488","url":null,"abstract":"Newton method is one of the most widely used numerical methods for solving nonlinear equations. McDougall and Wotherspoon [Appl. Math. Lett., 29 (2014), 20-25] modified this method in predictor-corrector form and get an order of convergence 1+√2. More on the PDF","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116993636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Solving Some Linear and Nonlinear PDEs Using Laplace Adomian Decomposition Method","authors":"Attaullah","doi":"10.3126/jnms.v1i2.41484","DOIUrl":"https://doi.org/10.3126/jnms.v1i2.41484","url":null,"abstract":"In this paper, Laplace Adomian decomposition method (LADM) is applied to solve linear and nonlinear partial differential equations (PDEs). With the help of proposed method, we handle the approximated analytical solutions to some interesting classes of PDEs including nonlinear evolution equations, Cauchy reaction-diffusion equations and the Klien-Gordon equations.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130902684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Interaction of Two-phase Debris Flow with Lateral Converging Shear Walls","authors":"Parameshwari Kattel, B. M. Tuladhar","doi":"10.3126/jnms.v1i2.41490","DOIUrl":"https://doi.org/10.3126/jnms.v1i2.41490","url":null,"abstract":"Landslides, debris avalanches and debris flows are common mass wasting phenomena in mountain slopes. Debris flows can increase their volume and destructive potential by scouring undermining banks, thereby bringing morphological changes. Construction of lateral shear walls as embankments is a way of mitigation. In natural debris flows, solid and fluid evolve dynamically differently and show different inter-action with obstacles. So, we employ a general two-phase mass flow model (Pudasaini, 2012) consisting of a set of highly non-linear and hyperbolic-parabolic PDEs for mass and momentum balances for both downslope and cross-slope directions. Besides buoyancy, the model includes the dominant physical aspects of the flow: virtual mass force, generalized drag and non-Newtonian viscous stress. Our numerical experiments show that the solid is more obstructed than the fluid when a debris flow passes over a system of converging lateral shear walls resulting in different flow-dynamics, wall-interactions and run out morphology of the phases. Narrower the slit, more is the obstruction. Solid component is more obstructed than the fluid, resulting in a phase-separation. The obstruction is related with the contraction ratio due to the converging shear walls. These computations and the observations increase our understanding of the flow dynamics and interactions with the lateral shear walls. The results may be extended further to achieve some engineering solutions to hazard mitigation in debris-flow prone zones. ","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114419295","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Population Projection of Nepal: A Logistic Approach","authors":"Khagendra Adhikari, Hikmat Bahadur Raya","doi":"10.3126/jnms.v4i2.41482","DOIUrl":"https://doi.org/10.3126/jnms.v4i2.41482","url":null,"abstract":"Population growth is a dynamic process which depends upon many variables which result the population projection as a very complicated task. In this article, we try to project the population of Nepal for upcoming 100 years and also project the trend of population growth for next 300 years. In this projection, we use the Logistic Growth Model, a more realistic model of population projection. Here we use the every 10 years data of census and also calculate all the intermediate year’s data by using the exponential growth model. Thus, we use all together 41 years data in our calculation. By using the least square method to fit the Logistic Model in the past population and using the MATLAB, we calculate the logistic growth rate of population of Nepal is r = 3:6955%. The carrying capacity of Nepal is K = Pmax = 4; 38; 14; 550 and the inflection year at which the population is half of the maximum population ( K/2 = 2; 19; 07; 275) of Nepal as 1999 from when the population of Nepal will start to be more stable. The population growth rate will be remarkably reduced around the 2071 and the population of Nepal will start to remain more stable from around 2100. As the area of Nepal, its natural resources and possibilities of the dynamical connectivity between the rapid economically growing neighbors, the future population of Nepal seems to be manageable.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127391387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Pessimistic Bilevel Linear Optimization","authors":"S. Dempe, G. Luo, S. Franke","doi":"10.3126/jnms.v1i1.42165","DOIUrl":"https://doi.org/10.3126/jnms.v1i1.42165","url":null,"abstract":"In this paper, we investigate the pessimistic bilevel linear optimization problem (PBLOP). Based on the lower level optimal value function and duality, the PBLOP can be transformed to a single-level while nonconvex and nonsmooth optimization problem. By use of linear optimization duality, we obtain a tractable and equivalent transformation and propose algorithms for computing global or local optimal solutions. One small example is presented to illustrate the feasibility of the method. ","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"31 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134173106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Generalized Contraflow for Evacuation Planning Problem","authors":"Urmila Pyakurel","doi":"10.3126/jnms.v1i1.42173","DOIUrl":"https://doi.org/10.3126/jnms.v1i1.42173","url":null,"abstract":"The research in evacuation planning has been very much motivated due to the rapidly increased number of disasters world wide. It supports to remove the evacuees from dangerous areas to safe areas. Contraflow reconfiguration during evacuation make traffic smooth by reversing the required road directions from dangerous areas to safe areas that improve both flow and speed significantly. On lossy network, the generalized maximum dynamic contraflow and generalized earliest arrival contraflow problems have been solved efficiently with pseudo-polynomial time. \u0000This paper focuses in analytical solutions on generalized contraflow for evacuation planning problem. The problems are considered on two terminal lossy networks. We solve the generalized maximum static contraflow problem in pseudo-polynomial time and compute its approximation solution in polynomial time. Moreover, we present a fully polynomial time approximation scheme (FPTAS) to compute an approximate generalized maximum dynamic contraflow solution.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129348233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some Symmetric Curvature Conditions on Kenmotsu Manifolds","authors":"R. Shah","doi":"10.3126/jnms.v1i1.42174","DOIUrl":"https://doi.org/10.3126/jnms.v1i1.42174","url":null,"abstract":"In this paper, we study locally and globally φ-symmetric Kenmotsu manifolds. In both curvature conditions, it is proved that the manifold is of constant negative curvature - 1 and globally φ-Weyl projectively symmetric Kenmotsu manifold is an Einstein manifold. Finally, we give an example of 3-dimensional Kenmotsu manifold.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114312454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Landslide-water Interaction for Partially Submerged Landslide","authors":"J. Kafle, B. M. Tuladhar","doi":"10.3126/jnms.v1i1.42170","DOIUrl":"https://doi.org/10.3126/jnms.v1i1.42170","url":null,"abstract":"Tsunamis are long water waves triggered by impulsive geologic events. Tsunamis generated by landslides may be classified based on the initial position of the landslide as subaerial, partially submerged or submarine landslide generated tsunamis depending on the initial position of the landslide relative to the water depth. Here we present and discuss a simulation related to a partially submerged landslide in a quiescent reservoir by using the general two-phase mass flow model (Pudasaini, 2012) to observe the explicit evolution and propagation of surface tsunami waves, and solid waves as submarine mass movement. Tsunami waves are reflected as they impact the right coast and the lateral walls of the reservoir. The study of wave propagation, reflection and interaction as well as the submarine mass movement enhance our understanding on the tsunami-related phenomena and the turbidity current in water bodies and coastal areas.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121370002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Generalized Common Fixed Point Result in Banach Space","authors":"K. Jha","doi":"10.3126/jnms.v1i1.42169","DOIUrl":"https://doi.org/10.3126/jnms.v1i1.42169","url":null,"abstract":"The aim of this paper is to establish a common fixed point theorem for weakly compatible pair of self mappings in Banach space which generalizes and improves various well known comparable results.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128340419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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