Sumudu Decomposition Method for Solving Fractional Bratu-Type Differential Equations

Authors

  • N. B. Manjare Department of Mathematics, Shivaji University, Kolhapur 416004. M.S., India
  • H. T. Dinde Department of Mathematics, Shivaji University, Kolhapur 416004. M.S., India

DOI:

https://doi.org/10.3329/jsr.v12i4.47163

Abstract

The purpose of this paper is to introduce Sumudu decomposition method for solving Fractional Bratu-type differential equation. This method is a combination of the Sumudu transform and Adomian decomposition method. The fractional derivative is described in the Caputo sense. The Sumudu decomposition method is applied to obtain approximate analytical solution of non-linear Fractional Bratu-type differential equation. A novel combination of Sumudu transform and Adomian decomposition provides approximate solution in the form of infinite convergent series solution. The behavior of approximate analytical solutions and exact solutions for different values of α are plotted graphically. The results acquired from Sumudu decomposition method indicates that the proposed method is very well founded, suitable and effective. Finally, some numerical examples are given to illustrate the efficiency and applicability of our method.

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Published

2020-09-01

How to Cite

Manjare, N. B., & Dinde, H. T. (2020). Sumudu Decomposition Method for Solving Fractional Bratu-Type Differential Equations. Journal of Scientific Research, 12(4), 585–605. https://doi.org/10.3329/jsr.v12i4.47163

Issue

Section

Section A: Physical and Mathematical Sciences