In this article we have developed third order exact finite difference method for the numerical solution of third order boundary value problems. We constructed our numerical technique without change in structure of the coefficient matrix of the second-order method in \cite{Pand}. We have discussed convergence of the proposed method. Numerical experiments on model test problems approves the simply high accuracy and efficiency of the method.
Pandey, P. (2018). A Novel Finite Difference Method of Order Three for the Third Order Boundary Value Problem in ODEs. International Journal of Mathematical Modelling & Computations, 8(1 (WINTER)), 53-60.
MLA
Pramod Pandey. "A Novel Finite Difference Method of Order Three for the Third Order Boundary Value Problem in ODEs". International Journal of Mathematical Modelling & Computations, 8, 1 (WINTER), 2018, 53-60.
HARVARD
Pandey, P. (2018). 'A Novel Finite Difference Method of Order Three for the Third Order Boundary Value Problem in ODEs', International Journal of Mathematical Modelling & Computations, 8(1 (WINTER)), pp. 53-60.
VANCOUVER
Pandey, P. A Novel Finite Difference Method of Order Three for the Third Order Boundary Value Problem in ODEs. International Journal of Mathematical Modelling & Computations, 2018; 8(1 (WINTER)): 53-60.