What type of study is this?

This is a Experimental Study study.

October 5, 2025

A Modified Adomian Decomposition Method for TimeFractional Diffusion Equations

Key Points

A novel approach provides accurate analytical solutions to time-fractional diffusion equations by modifying ADM.
The modified method incorporates boundary conditions with initial conditions to refine iterative solutions.
Analytical solutions obtained demonstrate the effectiveness of the proposed method compared to traditional approaches.
Illustrative examples validate the practical application and adaptability of the new approach in solving fractional derivative equations.

Abstract

This article deals with the fractional derivative operators related to the heat equation. Used the Adomian Decomposition Method (ADM) and fraction calculus to get the analytical solution. A modification of ADM is proposed that combines boundary conditions with initial condition to get a new initial solution at each iteration. Some illustrative examples were presented.

AI से पूछें

Bookmark