The Journal of the Indian Mathematical Society

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Numerical-Analytic Methods for Nonlinear Diffusion Type Differential Equations of Heat Transfer


Affiliations
1 Department of Mathematics, University of Mysore, Mysore-570 006, India
2 Department of Mathematics, G. C. E., Ramanagaram, 571 511, India
     

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The present paper is on two Numerical-Analytic methods- (i) A combined method of Pade approximation and method of successive approximations and (ii) A combined method of Pade approximation and method of homotopy analysis. They provide typical approximate solutions for a singular boundary value problem for nonlinear diffusiontype differential equation of heat transfer.

Keywords

Singular Boundary Value Problems of Heat Transfer, Nonlinear Diffusion Type Differential Equations, Methods of Pade Approximation, Methods of Successive Approximations, Methods of Homotopy Analysis.
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  • Numerical-Analytic Methods for Nonlinear Diffusion Type Differential Equations of Heat Transfer

Abstract Views: 224  |  PDF Views: 1

Authors

R. Rangarajan
Department of Mathematics, University of Mysore, Mysore-570 006, India
H. Muneer Basha
Department of Mathematics, G. C. E., Ramanagaram, 571 511, India

Abstract


The present paper is on two Numerical-Analytic methods- (i) A combined method of Pade approximation and method of successive approximations and (ii) A combined method of Pade approximation and method of homotopy analysis. They provide typical approximate solutions for a singular boundary value problem for nonlinear diffusiontype differential equation of heat transfer.

Keywords


Singular Boundary Value Problems of Heat Transfer, Nonlinear Diffusion Type Differential Equations, Methods of Pade Approximation, Methods of Successive Approximations, Methods of Homotopy Analysis.