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volterra-integral-equations

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Scientific Research Publishing

Abdou, M.A. and AL-Bugami, A.M. (2013) Nonlinear Fredholm-Volterra Integral Equation and Its Numerical Solutions with Quadrature Methods. Journal of Advances in Mathematics, 4 ...

ABSTRACT: This work proposes a new definition of the functional Fredholm integral equation in 2D of the second kind with discontinuous kernels (FT-DFIE). Furthermore, the work is concerned to study ...
Scientific Research Publishing

Singular Hammerstein-Volterra Integral Equation and Its Numerical Processing ()

Department of Mathematics, Faculty of Sciences, Taif University, Taif, KSA. The singular integral equations are considered to be of more interest than the others and a close form of solution is ...
INSPIRE

Convergence of the Neumann series for the Schrodinger equation and general Volterra equations in Banach spaces

The objective of the article is to treat the Schrödinger equation in parallel with a standard treatment of the heat equation. In the mathematics literature, the heat equation initial value problem is ...
IEEE

A Volterra Integral Equation Algorithm on Triangulated Space Time Meshes

Abstract: A novel 1D Volterra Time Domain Integral Equation TDIE algorithm capable of running on unstructured 2D triangular meshes is presented here. This falls in line with recent development of ...