Geodesic
A numerical technique for the solution of general eighth order boundary value problems: a finite difference method
Ural mathematical journal, Tome 4 (2018) no. 1, pp. 56-62

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In this article, we present a novel finite difference method for the numerical solution of the eighth order boundary value problems in ordinary differential equations. We have discretized the problem by using the boundary conditions in a natural way to obtain a system of equations. Then we have solved system of equations to obtain a numerical solution of the problem. Also we obtained numerical values of derivatives of solution as a byproduct of the method. The numerical experiments show that proposed method is efficient and fourth order accurate.
Keywords: Boundary Value Problem, Eighth Order Equation, Finite Difference Method, Fourth Order Method. 
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     author = {Pramod Kumar Pandey},
     title = {A numerical technique for the solution of general eighth order boundary value problems: a finite difference method},
     journal = {Ural mathematical journal},
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     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2018_4_1_a4/}
}
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Pramod Kumar Pandey. A numerical technique for the solution of general eighth order boundary value problems: a finite difference method. Ural mathematical journal, Tome 4 (2018) no. 1, pp. 56-62. http://geodesic.mathdoc.fr/item/UMJ_2018_4_1_a4/