Mellin-SBA Method for Solving Nonliear Partial Differential Equations
Traore Andre *
Universit Joseph KI-ZERBO de Ouagadougou, Laboratoire d'Analyse Numerique,d'informatique et de Bio-mathematique(L.A.N.I.BIO), Burkina Faso.
Kamate Adama
Universit Joseph KI-ZERBO de Ouagadougou, Laboratoire d'Analyse Numerique,d'informatique et de Bio-mathematique(L.A.N.I.BIO), Burkina Faso.
Francis Bassono
Universit Joseph KI-ZERBO de Ouagadougou, Laboratoire d'Analyse Numerique,d'informatique et de Bio-mathematique(L.A.N.I.BIO), Burkina Faso.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we present a new numerical method for solving nonlinear differential and partial differential equations. This method is the Mellin-SBA method. In the first part, we describe the SBA and Mellin-SBA methods. The second part is devoted to solving two nonlinear problems by the Mellin-SBA method.
Keywords: Partial differential equations, mellin transformation, SBA method, mellin-SBA method