Spectral method for the diffusion equation with a source term
نویسندگان
1 Institute of Mathematics, Department of Mathematics, University of Mentouri, Constantine 25000, Algeria
2 Institute of Mathematics, Department of Mathematics, University of Mentouri, Constantine 25000, Algeria
3 Institute of Mathematics, Department of Mathematics, University of Dr. Yahia Fares, Medea, Algeria
doi
10.22075/ijnaa.2021.19444.2082چکیده
The aim of this paper is to investigate the Legendre spectral method for solving the diffusion equation with a source term and mixed initial-boundary value problem in a finite rectangle $\Omega _{2}$, we use some techniques to convert the problem to a system of ordinary differential equations and by an analysis matrical we find a general term defines all ordinary differential equations of this system, we solve this general term we get the desired approximate solution, we also present the error estimate.
