Some Numerical Methods for Solving Linear Two-Dimensional Volterra Integral Equation

  • Abeer AL-Bugami Department of Mathematics, Faculty of Sciences, Taif University, KSA
  • M. M. Al-Wagdani Department of Mathematics, Faculty of Sciences, Taif University, KSA
Keywords: Two-Dimensional Volterra Integral Equation, trapezoidal rule, Simpson's rule.

Abstract

In this paper, the existence and uniqueness of solution of the linear twodimensional Volterra integral equation of the second kind(LT-DVIE) with Continuous Kernel are discussed and proved. Trapezoidal rule and Simpson's rule 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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Published
2017-03-23
How to Cite
AL-Bugami, A., & Al-Wagdani, M. M. (2017). Some Numerical Methods for Solving Linear Two-Dimensional Volterra Integral Equation. Journal of Progressive Research in Mathematics, 11(3), 1674-1684. Retrieved from https://scitecresearch.com/journals/index.php/jprm/article/view/1021
Issue
Vol 11 No 3: JPRM
Section
Articles

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