A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

• Autorzy: Gürbüz Burcu

Identyfikatory

DOI

10.2478/fcds-2021-0015

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Laguerre polynomials; Laguerre series; singularly perturbed parabolic problems; differential equation; convergence analysis; Laguerre matrix; collocation method; delay differential equations

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Foundations of Computing and Decision Sciences
• Rocznik: 2021
• Tom: Vol. 46, No. 3
• Strony: 221--233
• Opis fizyczny: Bibliogr. 40 poz., rys., tab.

Twórcy

autor

Gürbüz Burcu

• Johannes Gutenberg-University Mainz, Institute of Mathematics Mainz, 55128 Germany

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).