HERMITE POLYNOMIAL APPROACH FOR SOLVING SINGULAR PERTURBATED DELAY DIFFERENTIAL EQUATIONS
Keyword(s):
In this study, a collocation approach based on the Hermite polyomials is applied to solve the singularly perturbated delay differential eqautions by boundary conditions. By means of the matix relations of the Hermite polynomials and the derivatives of them, main problem is reduced to a matrix equation. And then, collocation points are placed in equation of the matrix. Hence, the singular perturbed problem is transformed into an algebraic system of linear equations. This system is solved and thus the coefficients of the assumed approximate solution are determined. Numerical applications are made for various values of N.
1995 ◽
Vol 38
(3)
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pp. 495-510
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1992 ◽
Vol 15
(1)
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pp. 41-46
2019 ◽
pp. 203-230
Keyword(s):
2019 ◽
Vol 08
(04)
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pp. 1950020
2019 ◽
Vol 09
(4)
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pp. 32-45
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1965 ◽
Vol 69
(652)
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pp. 280-283
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