Two Numerical Algorithms for Solving a Partial Integro-Differential Equation with a Weakly Singular Kernel

Authors

Jeong-Mi Yoon, University of Houston-Downtown
Shishen Xie, University of Houston-Downtown
Volodymyr Hrynkiv, University of Houston-Downtown

Abstract

Two numerical algorithms based on variational iteration and decomposition methods are developed to solve a linear partial integro-differential equation with a weakly singular kernel arising from viscoelasticity. In addition, analytic solution is re-derived by using the variational iteration method and decomposition method.

Recommended Citation

Yoon, Jeong-Mi; Xie, Shishen; and Hrynkiv, Volodymyr (2012). Two Numerical Algorithms for Solving a Partial Integro-Differential Equation with a Weakly Singular Kernel, Applications and Applied Mathematics: An International Journal (AAM), Vol. 7, Iss. 1, Article 8.
Available at: https://digitalcommons.pvamu.edu/aam/vol7/iss1/8