Abstract
The Elzaki and Laplace transforms with residual power series method are both efficient and reliable approaches for solution of fractional differential equations (FDEs). The major endeavour of current work is the comparative study of numerical solution of non-integer order linear diffusion equation by both considered methods. The results are compared in the form of errors and it can be seen that both the methods are very reliable and efficient for solution of FDEs. This paper's primary goal is to compare the numerical solutions of this equation via numerical simulation contest, absolute errors and graphs, using two approaches that have been taken into consideration.
Keywords: Elzaki transforms, Laplace transforms, diffusion equation
How to cite
Rajendra Pant, Geeta Arora (2025). Comparative study of numerical solution of time-fractional diffusion equation via ERPSM and LRPSM. International Journal of Mathematics and Computational Frontiers, 1(2), 71–93.