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Research Article Open access CC BY 4.0

A Note on Corrections in Approximation of the Modified Error Function

Supriya Mandal, Debabrata Singh, M. M. Panja

Journal of Advances in Mathematics and Computer Science · pp. 1–13 · Published 14 Feb 2019

10.9734/JAMCS/2019/46478

Abstract

This article deals with the evaluation of some integrals involving error-, exponential- and algebraic functions with an objective to derive explicit expressions for the second and third order correction terms in the  approximation of the modified error function, playing important role in the study of Stefan problem. The results obtained here appear to be new and resolve the lack of desired monotonicity property in the results presented by Ceretania et al.[1]. Results derived here seem to be useful for the researchers working with Stefan problems.

Modified error function error function nonlinear ordinary differential equation approximation.

Cited by 2

Auxiliary functions in the study of Stefan-like problems with variable thermal properties

Andrea N. Ceretani, Natalia N. Salva, Domingo A. Tarzia · Applied Mathematics Letters · 2020

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