Title of article
A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel
Author/Authors
Biazar J. نويسنده Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-19141, Rasht, Islamic Republic of Iran , Aasaraai A. نويسنده Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-19141, Rasht, Islamic Republic of Iran , Mehrlatifan B. نويسنده Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-19141, Rasht, Islamic Republic of Iran
Pages
9
From page
359
Abstract
Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where . Stability and convergence in norm are discussed through energy method. Numerical examples are provided to confirm the theoretical prediction and to show that the combination of the compact finite difference approximation and product trapezoidal method give an efficient method for solving a partial integro-differential equation.
Journal title
Astroparticle Physics
Serial Year
2017
Record number
2408289
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