Sinc-collocation solution for nonlinear two-point boundary value problems arising in chemical reactor theory

J. Rashidiniaa and M. Nabatib,*

Sinc-collocation solution for nonlinear two-point boundary value problems arising in chemical reactor theory

Authors :

J. Rashidinia^a and M. Nabati^b,*

Author Address :

^a,bIran University of Science and Technology, Narmak, 1684613114, Tehran, Iran.

*Corresponding author.

Abstract :

Numerical solution of nonlinear second order two-point boundary value problems based on Sinc-collocation method, developed in this work. We first apply the method to the class of nonlinear two-point boundary value problems in general and specifically solved special problem that is arising in chemical reactor theory. Properties of the Sinc-collocation method are utilized to reduce the solution of nonlinear two-point boundary value problem to some nonlinear algebraic equations. By solving such system we can obtain the numerical solution. We compared the obtained numerical result with the previous methods so far, such as Adomiad method, shooting method, Sinc Galerkin method and contraction mapping principle method.