A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations
2021 ◽
Vol 46
(3)
◽
pp. 221-233
Keyword(s):
Abstract In this work, a matrix method based on Laguerre series to solve singularly perturbed second order delay parabolic convection-diffusion and reaction-diffusion type problems involving boundary and initial conditions is introduced. The approximate solution of the problem is obtained by truncated Laguerre series. Moreover convergence analysis is introduced and stability is explained. Besides, a test case is given and the error analysis is considered by the different norms in order to show the applicability of the method.
2021 ◽
Vol 1850
(1)
◽
pp. 012063
2022 ◽
pp. 106232
2019 ◽
Vol 61
(1-2)
◽
pp. 73-86
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1998 ◽
Vol 35
(3)
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pp. 57-70
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Keyword(s):
1998 ◽
Vol 13
(5)
◽
Keyword(s):
2001 ◽
Vol 1
(3)
◽
pp. 298-315
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