关于一些非线性偏积分微分方程的精确解

IF 4.6 2区数学 Q1 MATHEMATICS, APPLIED

Applied and Computational Mathematics Pub Date : 2021-03-30 DOI:10.11648/J.ACM.20211001.13

Francis Bassono, Rasmané Yaro, J. B. Yindoula, Gires Dimitri Nkaya, Gabriel Bissanga

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引用次数: 0

摘要

用Laplace-SBA方法求解非线性积分微分方程的资料很少。本文的目的是用这种方法确定非线性二维Voltera-Fredholm微分方程的精确解。首先介绍了SBA法和拉普拉斯SBA法。其次，分别求解了三个非线性volterra - fredholm积分微分方程。每种方法的应用都给出了精确解。然而，与SBA方法相比，Laplace-SBA方法可以求解积分微分方程。这证明了最后一种方法可以有效地应用于积分-微分方程的求解。

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About Exact Solution of Some Non Linear Partial Integro-differential Equations

Data on solving of nonlinear integro-differential equations using Laplace-SBA method are scarce. The objective of this paper is to determine exact solution of nonlinear 2 dimensionnal Voltera-Fredholm differential equation by this method. First, SBA method and Laplace SBA method are described. Second, three nonlinear Voolterra-Fredholm integro-differential equations are solved using each method. Application of each method give an exact solution. However, application of Laplace-SBA method permits for solve integro-differential equation compared with SBA method. This proves that this last method can be fruitfully applied in the resolution of integro-differential equations.

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来源期刊

Applied and Computational Mathematics 数学-应用数学

CiteScore

8.80

自引率

5.00%

发文量

审稿时长

6 months

期刊介绍： Applied and Computational Mathematics (ISSN Online: 2328-5613, ISSN Print: 2328-5605) is a prestigious journal that focuses on the field of applied and computational mathematics. It is driven by the computational revolution and places a strong emphasis on innovative applied mathematics with potential for real-world applicability and practicality. The journal caters to a broad audience of applied mathematicians and scientists who are interested in the advancement of mathematical principles and practical aspects of computational mathematics. Researchers from various disciplines can benefit from the diverse range of topics covered in ACM. To ensure the publication of high-quality content, all research articles undergo a rigorous peer review process. This process includes an initial screening by the editors and anonymous evaluation by expert reviewers. This guarantees that only the most valuable and accurate research is published in ACM.