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Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/2921
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| Title: | On One Investigating Some Quadrature Rules For The Solution Of Second Order Volterra Integro-Differential Equations |
| Authors: | Kamoh, N. M.
Aboiyar, T.
Onah, E. S. |
| Keywords: | Continuous
Block method
Collocation
Interpolation
second order equations
Hermite
polynomials
Trapezoidal rule
Simpson’s 1/3 rule
Gaussian’s quadrature |
| Issue Date: | 2017 |
| Publisher: | IOSR Journal of Mathematics |
| Series/Report no.: | Vol.13;Iss.5; Ver. III; Pp 01-03 |
| Abstract: | Abstract: In this paper, a block method was constructed for the direct solution of general second order initial
value problems of the Volterra type integro-differential equations. The method was investigated for the basic
properties and was found to be zero stable, consistent and convergent. The region of absolute stability showed
that the method is A-stable. The method was tested on some existing standard problems, the results revealed that
Trapezoidal rule performed significantly better than Simpson’s 1/3 and Gaussian quadrature rules as revealed
by the absolute error values shown in Tables 2 and 4 signifying that the choice of quadrature rule play an
important role in the determination of the solution for VIDEs. |
| URI: | http://hdl.handle.net/123456789/2921 |
| ISSN: | 2278-5728
2319-765X |
| Appears in Collections: | Computer Science
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