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 Journal of Mathematical Chemistry, 2012; 3(1): 1-7. doi: 10.22052/ijmc.2012.5197
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