Open AccessExact Solution of Space-Time Fractional Partial Differential Equations by Adomian Decomposition Method
Author(s) -
Vidya N. Bhadgaonkar,
Bhausaheb R. Sontakke
Publication year - 2021
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2021/v36i630373
Subject(s) - adomian decomposition method , mathematics , partial differential equation , nonlinear system , exact solutions in general relativity , decomposition method (queueing theory) , first order partial differential equation , fractional calculus , mathematical analysis , differential equation , matlab , representation (politics) , computer science , physics , discrete mathematics , quantum mechanics , politics , political science , law , operating system
The intention behind this paper is to achieve exact solution of one dimensional nonlinear fractional partial differential equation(NFPDE) by using Adomian decomposition method(ADM) with suitable initial value. These equations arise in gas dynamic model and heat conduction model. The results show that ADM is powerful, straightforward and relevant to solve NFPDE. To represent usefulness of present technique, solutions of some differential equations in physical models and their graphical representation are done by MATLAB software.