A new least‐squares‐based reproducing kernel method for solving regular and weakly singular Volterra‐Fredholm integral equations with smooth and nonsmooth solutions

Author:

Xu Minqiang1,Niu Jing2ORCID,Tohidi Emran3ORCID,Hou Jinjiao2,Jiang Danhua1

Affiliation:

1. College of Science Zhejiang University of Technology Hangzhou 310023 China

2. School of Mathematics and Sciences Harbin Normal University Harbin 150025 China

3. Department of Mathematics Kosar University of Bojnord Bojnord Iran

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference37 articles.

1. On a class of watson transform;Bartoshevich MA;Dokl Akad Nauk USSR,1975

2. Contributions to the theory of the heat transfer through a laminar boundary layer;Lighthill JM;Proc R Soc Lond,1950

3. Existence, uniqueness and smoothness results for second‐kind Voterra equation with weakly singular kernel;Han W;J Int Equa Appl,1994

4. Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations

5. A new reproducing kernel method with higher convergence order for solving a Volterra–Fredholm integral equation

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