Generalized quasilinearization method for mixed boundary value problems

Authors:
Bashir Ahmad;Juan J. Nieto;Naseer Shahzad
Affiliations:
Department of Mathematics, Quaidi-i-Azam University, Islamabad, Pakistan;Departmento de Analisis Matematico, Facultad de Matematicas, Universidad de Santiago de Compostela, Spain;Department of Mathematics, Faculty of Science, King Abdul Aziz University, P.O. Box 9028, Jeddah 21413, Saudi Arabia
Venue:
Applied Mathematics and Computation
Year:
2002

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Abstract

A generalized quasilinearization method for a nonlinear mixed BVP is developed and a sequence of approximate solutions converging monotonically and quadratically to a solution of the given problem is presented.