On the Approximate Solution of Partial Integro-Differential Equations Using the Pseudospectral Method Based on Chebyshev Cardinal Functions

In this paper, we apply the pseudospectral method based on Chebyshev cardinal function to solve parabolic partial integro-differential equations (PIDEs). Since these play a key role in mathematics, physics, and engineering, finding an appropriate solution is important. We use efficient PIDEs, especially for integral part. Unlike when using functions, functions it no longer necessary integrate find expansion coefficients of given function. This reduces computation. The convergence analysis investigated some numerical examples guarantee our theoretical results. compare presented with others. results confirm efficiency accuracy method.