LEGENDRE COLLOCATION METHOD FOR LINEAR SECOND ORDER FREDHOLM VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

Authors

  • M. R. ODEKUNLE DEPARTMENT OF MATHEMATICS, MODIBBO ADAMA UNIVERSITY OFTECHNOL- OGY, YOLA, ADAMAWA STATE
  • A. O. ADESANYA DEPARTMENT OF MATHEMATICS, MODIBBO ADAMA UNIVERSITY OFTECHNOLOGY, YOLA, ADAMAWA STATE
  • R. O. ONSACHI DEPARTMENT OF MATHEMATICS, MODIBBO ADAMA UNIVERSITY OFTECHNOL- OGY, YOLA, ADAMAWA STATE
  • A. M. AJILEYE DEPARTMENT OF MATHEMATICS, MODIBBO ADAMA UNIVERSITY OFTECHNOL- OGY, YOLA, ADAMAWA STATE

Abstract

This paper discusses the development of a new numerical solution of second order linear Fredholm Volterra integro-dffierential equations by Legendre collocation method. The Fredholm Volterra integro-differential equation is rst converted into integral equation and then transformed into linear algebraic equations which are then solved using matrix inversion
method. Numerical solution shows that the method gives better accuracy than the existing methods.

References

A. Alipanah and M. Dehghan, A pseudospectral method for the solution of second order integro differential equations, J. Vib. Control, 1- 6, 2011, doi:10.1177/1077546311399945.

O. A. Agbolade and T. A. Anake, Solution of rst order Volterra type lineardierential equations by collocation method, J. Appl. Math., Article ID 1510267, (2017), doi: 10.1155/2017/1510267.

T. Akkaya and S. Yalcinbas, Boubaker polynomial approach for solving high order differential difference equations, AIP Conf. Proc., 1493, 26, (2012), doi:10.1063/1.4765464.

N. Akgonullu , N. Sahin and M. Sezer, A Hermite collocation method for the approximate solution of high order linear Fredholm integro differential equations, Numer. Methods Partial Dierential Equations, doi:10.1002/num.20604.

H. Derdik-Yaslan and A. Akyuz-Dascioglu, Chebyshev polynomial solution of non-linear Fredholm Volterra integro differential equations, Cankaya University, Fen-Edebiyat Fakultesi Journal of Arts and Sciences Sayi: 5, Mayis, (2006).

E. H. Doha, M. A. Abdelkawy and A. Z. M. Amin, Shifted Jacobi spectral collocation method with convergence analysis for solving integro differential equations, Nonlinear Anal. Model. Control, 24(3), (2019) 332-352, doi:10.15388/NA.2019.3.2

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Published

2020-05-08

How to Cite

ODEKUNLE, M. R., ADESANYA, A. O., ONSACHI, R. O., & AJILEYE, A. M. (2020). LEGENDRE COLLOCATION METHOD FOR LINEAR SECOND ORDER FREDHOLM VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS. Journal of the Nigerian Mathematical Society, 39(1), 39-46. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/543

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