Runge-Kutta and Block by Block Methods to Solve Linear Two-Dimensional Volterra Integral Equation with Continuous Kernel

Authors

  • abeer Majed AL-Bugami Saudi Arabi- Taif University

DOI:

https://doi.org/10.24297/jam.v11i5.1247

Keywords:

Two-Dimensional Volterra Integral Equation, Runge-Kutta method, Block- by –block method.

Abstract

In this paper, the existence and uniqueness of solution of the linear two dimensional Volterra integral equation of the second kind with Continuous Kernel are discussed and proved.RungeKutta method(R. KM)and Block by block method (B by BM) are used to solve this type of two dimensional Volterra integral equation of the second kind. Numerical examples are considered to illustrate the effectiveness of the proposed methods and the error is estimated.

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Author Biography

abeer Majed AL-Bugami, Saudi Arabi- Taif University

Department of Mathematics, Faculty of  Sciences Taif University, KSA

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Published

2015-10-12

How to Cite

AL-Bugami, abeer M. (2015). Runge-Kutta and Block by Block Methods to Solve Linear Two-Dimensional Volterra Integral Equation with Continuous Kernel. JOURNAL OF ADVANCES IN MATHEMATICS, 11(5), 5220–5229. https://doi.org/10.24297/jam.v11i5.1247

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Articles