ScholarLens Back to search
2019•Matrix Science MathematicOpen access

ANALYTICAL APPROXIMATE SOLUTION OF HEAT CONDUCTION EQUATION USING NEW HOMOTOPY PERTURBATION METHOD

Neelam Gupta, Neel Kanth

Open full text 11 citations

Abstract

In this paper, the analytic solution of one-dimensional heat conduction equation is obtained by means of new homotopy perturbation method.This method is effectively applied to obtain the exact solution for the problems on hand.Some problems related to one dimensional heat equation have been discussed, which reveals the effectiveness and simplicity of the method.Numerical results have also been analysed graphically to show the rapid convergence of infinite series expansion.

Open-access reader

About this research paper

What this paper is about

In this paper, the analytic solution of one-dimensional heat conduction equation is obtained by means of new homotopy perturbation method.This method is effectively applied to obtain the exact solution for the problems on hand.Some problems related to one dimensional heat equation have been discussed, which reveals the effectiveness and simplicity of the method.Numerical results have also been analysed graphically to show the rapid convergence of infinite series expansion.

Why it matters

OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper, the analytic solution of one-dimensional heat conduction equation is obtained by means of new homotopy perturbation method.This method is effectively applied to obtain the exact solution for the problems on hand.Some problems related to one dimensional heat equation have been discussed, which reveals the effectiveness and simplicity of the method.Numerical results have also been analysed graphically to show the rapid convergence of infinite series expansion.

Key concepts: Homotopy perturbation method, Homotopy analysis method, Thermal conduction, Perturbation (astronomy), Mathematics, Heat equation, Homotopy, Mathematical analysis

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
ANALYTICAL APPROXIMATE SOLUTION OF HEAT CONDUCTION EQUATION USING NEW HOMOTOPY PERTURBATION METHOD — Research Paper | ScholarLens