MULTI- DIMENSIONAL LAPLACE TRANSFORM FOR NON - HOMOGENOUS PARTIAL DIFFERENTIAL EQUATIONS

Article Sidebar

PDF
Published: Feb 3, 2013

Main Article Content

A. Aghili Aghili
A. Motahhari

Abstract

In this work, we implement multi-dimensional Laplace transform method for solving the non – homogenous second order partial differential equations. The results reveal that the Laplace transforms method is very convenient and effective.

Key words and Phrases: Two-dimensional Laplace transforms; Heat equation; second order linear differential equations; Wave equation.

Mathematics Subject Classification2010: Primary 44A30, Secondary 35L05

Downloads

Download data is not yet available.

Article Details

How to Cite
Aghili, A. A., & Motahhari, A. (2013). MULTI- DIMENSIONAL LAPLACE TRANSFORM FOR NON - HOMOGENOUS PARTIAL DIFFERENTIAL EQUATIONS. Journal of Global Research in Mathematical Archives(JGRMA), 1(1), 63–76. Retrieved from https://www.jgrma.com/index.php/jgrma/article/view/15
Issue
Vol. 1 No. 1 (2013): January-2013
Section
Research Paper

Open Access: This is an open-access journal. All articles published in the Journal of Global Research in Mathematical Archives(JGRMA) are made immediately and permanently available under the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Authors retain the copyright of their work and grant Journal of Global Research in Mathematical Archives(JGRMA)  the right of first publication. This license permits unrestricted use, distribution, adaptation, and reproduction in any medium or format, including commercial use, provided the original author(s), source, and license are properly acknowledged.

Google Scholar Indexed | DOI Enabled | OAI-PMH Compliant | Open Access Journal

Author Biography

A. Aghili Aghili

Department of Applied Mathematics1, 2
Faculty of Mathematical Sciences1, 2,
University of Guilan1, 2

                   P.O. Box, 1841, Rasht - Iran1

References

A.Aghili, Salkhordeh Moghaddam. B, Laplace transform pairs of n- dimensions and a wave equation.

Intern. Math. Journal, Vol. 5, 2004, no. 4,377-382.

A.Aghili, Salkhordeh Moghaddam.B, Multi-Dimensional Laplace Transform and systems of partial

differential equations. Intern. Math. Journal,Vol. 1, 2006, no. 21-24. 6

A.Aghili, Salkhordeh Moghaddam.B,Laplace transform pairs of N- dimensions and second order

linear differential equations with constant coefficients, Annales Mathematicae et informaticae,

(2008) pp.3-10.

[ 4 ] A.Aghili, A.Motahhari, Integral transform method for solving non homogenous time fractional partial differential equations, Differential equations and control processes, No. 4, 2011.

[ 5 ] R.S.Dahiya, Saberi – Nadjafi .J:Theorems on N - Dimensional Laplace transforms and their applications.

th annual Conference of Applied Mathematics, Univ. of Central Oklahoma.Electronic Journal of Diferential

Equations, Conference 02,1999,pp.61-74

[ 6 ] R.S.Dahiya . M . Vinayagamoorthy : Laplace Transfom pairs of n – dimensions and heat conduction

problem. Math. Comput. Modelling vol. 13.No. 10 , pp,35-50