Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method
Joint Authors
Ali, Mohamed R.
Mousa, Mohamed M.
Ma, Wen-Xiu
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We present a new numerical technique to discover a new solution of Singular Nonlinear Volterra Integral Equations (SNVIE).
The considered technique utilizes the Hybrid Orthonormal Bernstein and Block-Pulse functions wavelet method (HOBW) to solve the weakly SNVIE including Abel’s equations.
We acquire the HOBW implementation matrix of the integration to derive the procedure of solving these kind integral equations.
The explained technique is delineated with two numerical cases to demonstrate the benefit of the technique used by us.
At last, the exchange uncovers the way that the strategy utilized here is basic in usage.
American Psychological Association (APA)
Ali, Mohamed R.& Mousa, Mohamed M.& Ma, Wen-Xiu. 2019. Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1118882
Modern Language Association (MLA)
Ali, Mohamed R.…[et al.]. Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method. Advances in Mathematical Physics No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1118882
American Medical Association (AMA)
Ali, Mohamed R.& Mousa, Mohamed M.& Ma, Wen-Xiu. Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1118882
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118882
