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Engineering with Computers
Erschienen in: Engineering with Computers 4/2020

20.05.2019 | Original Article

Legendre wavelet-based iterative schemes for fourth-order elliptic equations with nonlocal boundary conditions

verfasst von: K. Harish Kumar, V. Antony Vijesh

Erschienen in: Engineering with Computers | Ausgabe 4/2020

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Abstract

In the literature of wavelets, there is limited report of work done to solve nonlinear differential equations with nonlocal boundary conditions. This work is a new attempt to solve a fourth-order elliptic equation with the use of nonlocal boundary conditions by coupling quasilinearization with Legendre wavelet. Since the previously available approach failed to produce reliable accuracy for certain class of problems, this iterative scheme has been suitably modified to deal with a broader class to obtain an accuracy that is reliable. To show the efficiency of the proposed numerical method, a comparison was performed with some existing methods available in the literature.
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Metadaten
Titel
Legendre wavelet-based iterative schemes for fourth-order elliptic equations with nonlocal boundary conditions
verfasst von
K. Harish Kumar
V. Antony Vijesh
Publikationsdatum
20.05.2019
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2020
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-019-00766-5

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