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ANALYTICAL SOLUTIONS TO BRAJINSKII’S EQUATIONS IN ONE DIMENSION BY USING LAPLACE TRANSFORM TECHNIQUE

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Title: ANALYTICAL SOLUTIONS TO BRAJINSKII’S EQUATIONS IN ONE DIMENSION BY USING LAPLACE TRANSFORM TECHNIQUE

Authors: S.N.Hosseinimotlagh, M.Roostaie, H.Kazemifard

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2007

Volume: 1

Issue: 1

Language: English

Categories
Laplace Transform (3) Heat Transfer (461) Differential Equations (206) Partial Differential Equations (47) Mathematics (5170)

Abstract

Brajinskii’s equations are the fundamental relations governing the behavior of the plasma produced during a fusion reaction, especially ICF plasma. These equations contains six partial differential coupled together. In this paper we have tried to give analytical solutions to these equations using a one dimensional method. Laplace transform technique is the main tool to do that with an arbitrary boundary and initial conditions for some special cases.

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