newton-product integration for a stefan problem with kinetics

Authors

k. ivaz

abstract

stefan problem with kinetics is reduced to a system of nonlinear volterra integral equations of second kind and newton's method is applied to linearize it. product integration solution of the linear form is found and sufficient conditions for convergence of the numerical method are given. an example is provided to illustrated the applicability of the method.

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Journal title:
journal of sciences, islamic republic of iran

Publisher: university of tehran

ISSN 1016-1104

volume 22

issue 1 2011

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