L∞(L +)空间中泛函Volterra-Fredholm积分方程解的存在性及sinc插值求解

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Integral Equations and Applications Pub Date : 2022-06-01 DOI:10.1216/jie.2022.34.151

R. Arab, M. Rabbani

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引用次数: 0

摘要

利用空间L（R+）上的一个新的非紧性测度（Mnc）和Darbo不动点定理，证明了泛函Volterra—Fredholm积分方程解的存在性。通过实例验证了结果的有效性。此外，我们还提出了一种通过Sinc插值的迭代算法来寻找具有可接受精度的解。在该算法中，不需要将问题离散为具有未知系数的代数系统，并且我们有一个迭代过程来近似具有指数收敛性的解。

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Existence of solution of functional Volterra-Fredholm integral equations in space L∞(ℝ+) and sinc interpolation to find solution

A new measure of noncompactness (Mnc) and Darbo fixed point theorem are utilized on space L(R+) to prove the existence of solution for functional Volterra-Fredholm integral equations. An example is given to confirm the validity of results. Furthermore, we propound an iterative algorithm by Sinc interpolation to find the solution with an acceptable accuracy. In this algorithm, it does not need the problem is discretized to an algebraic system with unknown coefficients and we have an iterative processes to aproximate of solution with exponential convergence.

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来源期刊

Journal of Integral Equations and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their applications. The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations, and to influence and shape developments in this field. The Editors aim at maintaining a balanced coverage between theory and applications, between existence theory and constructive approximation, and between topological/operator-theoretic methods and classical methods in all types of integral equations. The journal is expected to be an excellent source of current information in this area for mathematicians, numerical analysts, engineers, physicists, biologists and other users of integral equations in the applied mathematical sciences.