Numerical Computations Arising from Time-memory Partial Integro-Differential Equations

Abstract

In the work reported herein, numerical solutions of a memory-type generalized Fisher-integro-differential equation is presented.  Using an appropriate quadrature technique;  the governing partial differential equation is converted to a system of nonlinear algebraic equations which is explained in detail and  solved straightforwardly. Different types of boundary conditions are examined; including the non trivial Robin types.  Accuracy properties of  the numerical scheme are confirmed  by comparing the numerical results with analytical solutions obtained from literature.