A Numerical Method using Collocation Approach for the Solution of Volterra-Fredholm Integro-Differential Equations
This paper consider collocation approach for the numerical solution of Volterra-Fredholm Integro-differential equation using collocation method. We transformed the problem into a system of linear algebraic equations and matrix inversion is adopted to solve the algebraic equations. We substituted th...
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| Format: | Article |
| Language: | English |
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Nigerian Society of Physical Sciences
2022-12-01
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| Series: | African Scientific Reports |
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| Online Access: | https://asr.nsps.org.ng/index.php/asr/article/view/58 |
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| author | G. Ajileye F. A. Aminu |
| author_facet | G. Ajileye F. A. Aminu |
| author_sort | G. Ajileye |
| collection | DOAJ |
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This paper consider collocation approach for the numerical solution of Volterra-Fredholm Integro-differential equation using collocation method. We transformed the problem into a system of linear algebraic equations and matrix inversion is adopted to solve the algebraic equations. We substituted the solution algebraic equations into the approximate equation to obtain the numerical result. Some numerical problems are solved to demonstrate the efficiency and consistency of the method.
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| format | Article |
| id | doaj-art-ab1fae3c14f54969a8fb092fc476c965 |
| institution | Kabale University |
| issn | 2955-1625 2955-1617 |
| language | English |
| publishDate | 2022-12-01 |
| publisher | Nigerian Society of Physical Sciences |
| record_format | Article |
| series | African Scientific Reports |
| spelling | doaj-art-ab1fae3c14f54969a8fb092fc476c9652025-08-20T03:31:34ZengNigerian Society of Physical SciencesAfrican Scientific Reports2955-16252955-16172022-12-011310.46481/asr.2022.1.3.5858A Numerical Method using Collocation Approach for the Solution of Volterra-Fredholm Integro-Differential EquationsG. AjileyeF. A. Aminu This paper consider collocation approach for the numerical solution of Volterra-Fredholm Integro-differential equation using collocation method. We transformed the problem into a system of linear algebraic equations and matrix inversion is adopted to solve the algebraic equations. We substituted the solution algebraic equations into the approximate equation to obtain the numerical result. Some numerical problems are solved to demonstrate the efficiency and consistency of the method. https://asr.nsps.org.ng/index.php/asr/article/view/58Collocation, Volterra-Fredholm, Integro-dierential, Power series, Approximate solution |
| spellingShingle | G. Ajileye F. A. Aminu A Numerical Method using Collocation Approach for the Solution of Volterra-Fredholm Integro-Differential Equations African Scientific Reports Collocation, Volterra-Fredholm, Integro-dierential, Power series, Approximate solution |
| title | A Numerical Method using Collocation Approach for the Solution of Volterra-Fredholm Integro-Differential Equations |
| title_full | A Numerical Method using Collocation Approach for the Solution of Volterra-Fredholm Integro-Differential Equations |
| title_fullStr | A Numerical Method using Collocation Approach for the Solution of Volterra-Fredholm Integro-Differential Equations |
| title_full_unstemmed | A Numerical Method using Collocation Approach for the Solution of Volterra-Fredholm Integro-Differential Equations |
| title_short | A Numerical Method using Collocation Approach for the Solution of Volterra-Fredholm Integro-Differential Equations |
| title_sort | numerical method using collocation approach for the solution of volterra fredholm integro differential equations |
| topic | Collocation, Volterra-Fredholm, Integro-dierential, Power series, Approximate solution |
| url | https://asr.nsps.org.ng/index.php/asr/article/view/58 |
| work_keys_str_mv | AT gajileye anumericalmethodusingcollocationapproachforthesolutionofvolterrafredholmintegrodifferentialequations AT faaminu anumericalmethodusingcollocationapproachforthesolutionofvolterrafredholmintegrodifferentialequations AT gajileye numericalmethodusingcollocationapproachforthesolutionofvolterrafredholmintegrodifferentialequations AT faaminu numericalmethodusingcollocationapproachforthesolutionofvolterrafredholmintegrodifferentialequations |