On numerical computational solution of seventh order boundary values problems

K. I. Falade, I. G. Baoku, A. T. Tiamiyu, I. Isyaku

Abstract


In this paper, we present and applied Exponentially Fitted Collocation Approximate Method for the numerical solution of seventh order boundary value problems. The
approximate solution of the problem is computed using Maple
18 software after the problem was slightly perturbed and collocated. Three examples have been considered to illustrate the efficiency and implementation of the method and the results are compared with the exact solution and some existing proposed work.

Full Text:

PDF

References


R. P. Agarwal, Boundary-value problems for higher order differential equations,

World Scientific, Singapore., 1986.

P. Kalyani and L. M. Lemma, Solutions of Seventh Order Boundary Value Problems Using Ninth Degree Spline Functions and Comparison with Eighth Degree Spline Solutions. Journal of Applied,Mathematics and Physics, 4, 249-261, 2016.

S. Shahid,Siddique et at Solution of Seventh Order Boundary Value Problem by Differential Transformation Method, World Applied Sciences Journal 16 (11):1521-1526, 2012ISSN 1818-4952, 2012.

Y. Rajashekhar Reddy,Efficient Numerical Solution for Seventh Order Differential Equation by using Septic B-Spline Collocation Method with non-uniform length,Global Journal of Pure and Applied Mathematics.ISSN 0973-1768 Volume 13, Number 7,pp. 3543-3548, 2017.

L. Fox and I. B.Parker,Chebyshev Polynomial in Numerical Analysis,Oxford University Press London, 1968.

K.I Falade(2015). Exponentially fitted collocation approximation method for singular initial value problems and integro-differential equations. Ph.D Thesis (unpublished), University of Ilorin, Ilorin Nigeria 7-15, 2015.

Kasi viswanadham K.N. S and Reddy S.M, Numerical solution of seventh order boundary value problems by petrov-galekin method with quintic B-splines as basis functions and septic B-splines as weight functions, Int. Jl. Comp. Appl., vol. 122, pp. 0975-8887, DOI: 10.5120/21700-481, 2015.

Abdulla-Al-Mamun and Mohammad Asaduzzaman, Solution of Seventh Order Boundary Value Problem by Using Variation Iteration Method, International Journal of Mathematics and Computational Science Vol. 5, No. 1,pp. 10-11, 2019.

Brever, K. S. and Eversion R. M., On the errors incurred calculating derivatives using Chebyshev polynomials., Journal of Computer Physics, 99, 56-67, 1992.

Falade K.I (2015), Exponentially tted collocation approximation method for singular initial value problems and integro-dierential equations., Ph.D Thesis (un-published), University of Ilorin, Ilorin Nigeria 7-15, 2015.

Falade K.I, Tiamiyu A.T and Muhammad M.Y, On Numerical Investigation and Assessment of variable Coecient C(t) on Airy differential equation, Journal of National Association of Mathematical Physics Volume 48 pp36-37, 2018.


Refbacks

  • There are currently no refbacks.


Copyright (c) 2020 Journal of the Nigerian Mathematical Society

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.