Numerical investigation of the fuzzy integro-differential equations by He$’$s Homotopy perturbation method

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Authors :

S. Sekar 1 * and A. S. Thirumurugan 2

Author Address :

1 Department of Mathematics, Chikkanna Government Arts College, Tiruppur – 641 602, Tamil Nadu, India.
2 Department of Mathematics, Mahendra Arts and Science College, Kalipatti, Namakkal-637 501, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper, the authors introduced the He’s Homotopy Perturbation Method (HHPM) for solving the Fuzzy Integro-Differential equations (FIDE) cite{sscj14}. The obtain discrete solutions were compared with another method taken from the literature cite{sscj14}. The new method has a lower computational cost which effects the time consumption. The numerical example was given to highlight the efficiency of this method.

Keywords :

Integro-Differential Equations, Fuzzy Integro-Differential Equations, Single-term Haar wavelet series, He’s Homotopy Perturbation Method.

DOI :

10.26637/MJM0703/0017

Article Info :

Received : April 14, 2019; Accepted : June 09, 2019.