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.
Yoon, Jeong-Mi; Xie, Shishen; and Hrynkiv, Volodymyr
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,
1, Article 8.
Available at: https://digitalcommons.pvamu.edu/aam/vol7/iss1/8