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On the Multiwavelets Galerkin Solution of the Volterra–Fredholm Integral Equations by an Efficient Algorithm
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-11
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We develop the multiwavelet Galerkin method to solve the Volterra–Fredholm integral equations.
To this end, we represent the Volterra and Fredholm operators in multiwavelet bases.
Then, we reduce the problem to a linear or nonlinear system of algebraic equations.
The interesting results arise in the linear type where thresholding is employed to decrease the nonzero entries of the coefficient matrix, and thus, this leads to reduction in computational efforts.
The convergence analysis is investigated, and numerical experiments guarantee it.
To show the applicability of the method, we compare it with other methods and it can be shown that our results are better than others.
American Psychological Association (APA)
Jebreen, H. Bin. 2020. On the Multiwavelets Galerkin Solution of the Volterra–Fredholm Integral Equations by an Efficient Algorithm. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1188018
Modern Language Association (MLA)
Jebreen, H. Bin. On the Multiwavelets Galerkin Solution of the Volterra–Fredholm Integral Equations by an Efficient Algorithm. Journal of Mathematics No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1188018
American Medical Association (AMA)
Jebreen, H. Bin. On the Multiwavelets Galerkin Solution of the Volterra–Fredholm Integral Equations by an Efficient Algorithm. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1188018
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188018