Approximation of solutions of nonlinear heat transfer problems

R. A. Khan, Centre for Advanced Mathematics and Physics, NUST, Rawalpindi, Pakistan

E. J. Qualitative Theory of Diff. Equ., No. 52. (2009), pp. 1-13.

Abstract: We develop a generalized approximation method (GAM) to obtain solution of a steady state one-dimensional nonlinear convective-radiative-conduction equation. The GAM generates a bounded monotone sequence of solutions of linear problems. The sequence of approximants converges monotonically and rapidly to a solution of the original problem. We present some numerical simulation to illustrate and confirm our results.

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