Theoretical Analysis of Nonlinear Partial Differential Equations with Mixed Boundary Conditions
M.Rajaram
Department of Mathematics, The Madura College, Madurai, India.
A.Meena *
PG and Research Department of Mathematics, Saraswathi Narayanan College (Autonomous), Madurai, Tamil Nadu, India.
*Author to whom correspondence should be addressed.
Abstract
The solution of author’s mathematical model of Magnetohydrodynamics (MHD) flow of a Casson fluid is discussed. The given nonlinear partial differential equations are converted into nonlinear ordinary differential equations using similarity transformations. The simple and closed form analytical expression for concentration profiles is provided. The compatibility of analytical results with simulation results can be observed from the graphs and table presented.
Keywords: Mixed boundary conditions, similarity transformations, homotopy analysis method, SCILAB