In this paper, a Chebyshev finite difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear differential equations. A problem arising from chemical reactor theory is then considered. The approach consists of reducing the problem to a set of algebraic equations. This method can be regarded as a non-uniform finite difference scheme. The method is computationally attractive and applications are demonstrated through an illustrative example. Also a comparison is made with existing results.
Saadatmandi,A and Azizi,M R.. (2012). Chebyshev Finite Difference Method for a Two−point Boundary Value Problems with Applications to Chemical Reactor Theory. Iranian Journal of Mathematical Chemistry, 3(1), 1-7. doi: 10.22052/ijmc.2012.5197
MLA
Saadatmandi,A , and Azizi,M R.. "Chebyshev Finite Difference Method for a Two−point Boundary Value Problems with Applications to Chemical Reactor Theory", Iranian Journal of Mathematical Chemistry, 3, 1, 2012, 1-7. doi: 10.22052/ijmc.2012.5197
HARVARD
Saadatmandi A, Azizi M R.. (2012). 'Chebyshev Finite Difference Method for a Two−point Boundary Value Problems with Applications to Chemical Reactor Theory', Iranian Journal of Mathematical Chemistry, 3(1), pp. 1-7. doi: 10.22052/ijmc.2012.5197
CHICAGO
A Saadatmandi and M R. Azizi, "Chebyshev Finite Difference Method for a Two−point Boundary Value Problems with Applications to Chemical Reactor Theory," Iranian Journal of Mathematical Chemistry, 3 1 (2012): 1-7, doi: 10.22052/ijmc.2012.5197
VANCOUVER
Saadatmandi A, Azizi M R.. Chebyshev Finite Difference Method for a Two−point Boundary Value Problems with Applications to Chemical Reactor Theory. Iranian J. Math. Chem.. 2012;3(1):1-7. doi: 10.22052/ijmc.2012.5197
