Similarity Solution of Semilinear Parabolic Equations with Variable Coefficients


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Authors

  • S. Padmasekaran Department of Mathematics, Periyar University, Salem, Tamilnadu, India
  • S. Rajeswari Department of Mathematics, Periyar University, Salem, Tamilnadu, IndiaDepartment of Mathematics, Periyar University, Salem, Tamilnadu, India
  • G. Sivagami Department of Mathematics, SBM College of Engineering and Technology, Dindigul, Tamilnadu, India

Keywords:

Lie's classical method, Nonclassical method, Symmetries

Abstract

In this paper we establish again that the nonclassical method accounts for more general results than those obtained by direct method and Lie's classical method with the help of a nonlinear parabolic equation with a variable coefficient $ u_t= u_{xx} + V(t,x) u^p, p>1$. A perturbation solution for the reduced equation $z^2 ff^{\prime \prime}+l_5 f^2+({1+p})/({1-p})z^2 f^{\prime^2}+\epsilon z^{n_1+2}=0$ is obtained.

 

 

Author Biographies

S. Padmasekaran, Department of Mathematics, Periyar University, Salem, Tamilnadu, India

 

 

S. Rajeswari, Department of Mathematics, Periyar University, Salem, Tamilnadu, IndiaDepartment of Mathematics, Periyar University, Salem, Tamilnadu, India

 

 

G. Sivagami, Department of Mathematics, SBM College of Engineering and Technology, Dindigul, Tamilnadu, India

 

 

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Published

01-09-2016

How to Cite

S. Padmasekaran, S. Rajeswari, & G. Sivagami. (2016). Similarity Solution of Semilinear Parabolic Equations with Variable Coefficients. International Journal of Mathematics And Its Applications, 4(3 - A), 201–209. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/986

Issue

Vol. 4 No. 3 - A (2016)

Section

Research Article

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