A NEW ALGORITHM FOR SOLVING NONLINEAR BOUNDARY VALUE PROBLEMS ARISING IN HEAT TRANSFER-Reference-Cited by-同舟云学术

A NEW ALGORITHM FOR SOLVING NONLINEAR BOUNDARY VALUE PROBLEMS ARISING IN HEAT TRANSFER

Published:2011-09 Issue:03 Volume:02 Page:355-373
ISSN:1793-9623
Container-title:International Journal of Modeling, Simulation, and Scientific Computing
language:en
Short-container-title:Int. J. Model. Simul. Sci. Comput.

Author:

MOTSA S. S.¹

Affiliation:

1. Mathematics Department, University of Swaziland, Private Bag 4, Kwaluseni, M201, Swaziland

Abstract

In this paper, a very efficient and easy-to-use successive linearization approach for solving nonlinear differential equations is proposed. The implementation of the method is demonstrated by solving three nonlinear differential equations of different complexities arising in heat transfer. New closed form explicit analytic solutions of some of the governing nonlinear equations are obtained and compared with the results of the proposed method and with numerical solutions from the MATLAB in-built routine bvp4c.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science Applications,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793962311000499

Reference24 articles.

1. A decomposition method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity

2. A decomposition method for solving the convective longitudinal fins with variable thermal conductivity

3. A DECOMPOSITION METHOD FOR POWER-LAW FIN-TYPE PROBLEMS

4. Differential Transformation Method to determine fin efficiency of convective straight fins with temperature dependent thermal conductivity

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