A survey on various computational techniques for nonlinear elliptic boundary value problems

Authors:
Manoj Kumar;P. Singh;Prashant Kumar
Affiliations:
Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211 004, UP, India;Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211 004, UP, India;Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211 004, UP, India
Venue:
Advances in Engineering Software
Year:
2008

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Abstract

In this paper a classification and a survey on numerical techniques for solving nonlinear (quasilinear, semilinear, superlinear, sublinear) elliptic boundary value problems between 2001 and 2006 have been presented and discussed the nature of positive solution of the various problems. The introduction of the methods and results presented by different researchers are summarized.