Quadratic Legendre Multiwavelets for Solving Mixed Volterra-Fredholm Integral Equations.
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| Title: | Quadratic Legendre Multiwavelets for Solving Mixed Volterra-Fredholm Integral Equations. |
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| Authors: | Murugan, S. Pitchai1 murugans@nc.amrita.edu, Amritha, P. G.2 amrithapg29@gmail.com, Sathidevi, C.3 sathidevi@am.amrita.edu |
| Source: | IAENG International Journal of Applied Mathematics. Apr2026, Vol. 56 Issue 4, p1585-1592. 8p. |
| Subjects: | Volterra equations, Wavelets (Mathematics), Numerical analysis, MatLab (Computer software) |
| Abstract: | In this article, we propose numerical techniques for solving Mixed Volterra-Fredholm integral equations using Quadratic Legendre Multi Wavelets. The unknown function in the integral equation is approximated by a truncated quadratic Legendre multiwavelet expansion. The obtained approximation transforms the original integral equation into a system of algebraic equations, from which the multiwavelet coefficients are calculated in MATLAB. Additionally, a convergence analysis of the proposed approach is provided. Several numerical examples are given to demonstrate the proposed method's accuracy and efficiency by comparing it to exact solutions as well as results achieved using other methods such as the Haar, spline and Legendre wavelet approaches. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 192720744 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Quadratic Legendre Multiwavelets for Solving Mixed Volterra-Fredholm Integral Equations. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Murugan%2C+S%2E+Pitchai%22">Murugan, S. Pitchai</searchLink><relatesTo>1</relatesTo><i> murugans@nc.amrita.edu</i><br /><searchLink fieldCode="AR" term="%22Amritha%2C+P%2E+G%2E%22">Amritha, P. G.</searchLink><relatesTo>2</relatesTo><i> amrithapg29@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Sathidevi%2C+C%2E%22">Sathidevi, C.</searchLink><relatesTo>3</relatesTo><i> sathidevi@am.amrita.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Apr2026, Vol. 56 Issue 4, p1585-1592. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Volterra+equations%22">Volterra equations</searchLink><br /><searchLink fieldCode="DE" term="%22Wavelets+%28Mathematics%29%22">Wavelets (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22MatLab+%28Computer+software%29%22">MatLab (Computer software)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this article, we propose numerical techniques for solving Mixed Volterra-Fredholm integral equations using Quadratic Legendre Multi Wavelets. The unknown function in the integral equation is approximated by a truncated quadratic Legendre multiwavelet expansion. The obtained approximation transforms the original integral equation into a system of algebraic equations, from which the multiwavelet coefficients are calculated in MATLAB. Additionally, a convergence analysis of the proposed approach is provided. Several numerical examples are given to demonstrate the proposed method's accuracy and efficiency by comparing it to exact solutions as well as results achieved using other methods such as the Haar, spline and Legendre wavelet approaches. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 1585 Subjects: – SubjectFull: Volterra equations Type: general – SubjectFull: Wavelets (Mathematics) Type: general – SubjectFull: Numerical analysis Type: general – SubjectFull: MatLab (Computer software) Type: general Titles: – TitleFull: Quadratic Legendre Multiwavelets for Solving Mixed Volterra-Fredholm Integral Equations. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Murugan, S. Pitchai – PersonEntity: Name: NameFull: Amritha, P. G. – PersonEntity: Name: NameFull: Sathidevi, C. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Text: Apr2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 56 – Type: issue Value: 4 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
| ResultId | 1 |
