Vol. 8 No. 1 (2024): Vol 8, Iss 1, Year 2024
Articles

Solving linear heat equation and wave equation using homotopy perturbation laplace-carson transform method

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  • Divya Bharathi S,
  • Gerly TG,
  • Sangeetha M,
  • Azeeza SM,
  • Gomathi G
Divya Bharathi S
Research Scholar, PG and Research Department of Mathematics,Sacred Heart College Tirupattur, Tamil Nadu, India.
Gerly TG
PG and Research Department of Mathematics,Sacred Heart College Tirupattur, Tamil Nadu, India
Sangeetha M
MSc. Mathematics and PG and Research Department of Mathematics,Theivanai Ammal College for women(Autonomous),Villupuram, Tamil Nadu, India
Azeeza SM
MSc. Mathematics and PG and Research Department of Mathematics,Theivanai Ammal College for women(Autonomous),Villupuram, Tamil Nadu, India
Gomathi G
MSc. Mathematics and PG and Research Department of Mathematics,Theivanai Ammal College for women(Autonomous),Villupuram, Tamil Nadu, India
DOI: https://doi.org/10.26524/cm190
Published June 30, 2024
Keywords
  • Laplace-carson transform,Homotopy Perturbation Method
How to Cite
Divya Bharathi S, Gerly TG, Sangeetha M, Azeeza SM, & Gomathi G. (2024). Solving linear heat equation and wave equation using homotopy perturbation laplace-carson transform method. Journal of Computational Mathematica, 8(1), 094-104. https://doi.org/10.26524/cm190

Abstract

In this paper, we will study about the advanced method is an appropriate union of the new integral transform named as “Laplace-Carson transform" and the homotopy perturbation method. Also finding the analytical solution of the heat equation and wave equation using the homotopy perturbation Laplace-Carson transform method (HPLCTM) is merged form of Laplace-Carson transform,homotopy perturbation method and He’s polynomial.

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