Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations
The goal of this paper is to introduce numerical solution for Volterra-Fredholm integro-differential equations of the second kind. The proposed method is Touchard polynomials method, and this technique transforms the integro-differential equations to the system of algebraic equations. Four examples...
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| Format: | Article |
| Language: | English |
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Tikrit University
2021-11-01
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| Series: | Tikrit Journal of Pure Science |
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| Online Access: | https://tjpsj.org/index.php/tjps/article/view/184 |
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| _version_ | 1849321032760950784 |
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| author | Mohammed Khalid Shahoodh |
| author_facet | Mohammed Khalid Shahoodh |
| author_sort | Mohammed Khalid Shahoodh |
| collection | DOAJ |
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The goal of this paper is to introduce numerical solution for Volterra-Fredholm integro-differential equations of the second kind. The proposed method is Touchard polynomials method, and this technique transforms the integro-differential equations to the system of algebraic equations. Four examples are presented in order to illustrate the accuracy and efficiency of this method
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| format | Article |
| id | doaj-art-c30fb60291ba41e4b43ec93130fde429 |
| institution | Kabale University |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2021-11-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-c30fb60291ba41e4b43ec93130fde4292025-08-20T03:49:54ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262021-11-0126510.25130/tjps.v26i5.184Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential EquationsMohammed Khalid Shahoodh The goal of this paper is to introduce numerical solution for Volterra-Fredholm integro-differential equations of the second kind. The proposed method is Touchard polynomials method, and this technique transforms the integro-differential equations to the system of algebraic equations. Four examples are presented in order to illustrate the accuracy and efficiency of this method https://tjpsj.org/index.php/tjps/article/view/184Touchard Polynomials MethodVolterra-Fredholm Integro-Differential EquationsInitial ConditionsNumerical SolutionsMathematical Tools |
| spellingShingle | Mohammed Khalid Shahoodh Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations Tikrit Journal of Pure Science Touchard Polynomials Method Volterra-Fredholm Integro-Differential Equations Initial Conditions Numerical Solutions Mathematical Tools |
| title | Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations |
| title_full | Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations |
| title_fullStr | Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations |
| title_full_unstemmed | Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations |
| title_short | Using Touchard Polynomials Method for Solving Volterra-Fredholm Integro-Differential Equations |
| title_sort | using touchard polynomials method for solving volterra fredholm integro differential equations |
| topic | Touchard Polynomials Method Volterra-Fredholm Integro-Differential Equations Initial Conditions Numerical Solutions Mathematical Tools |
| url | https://tjpsj.org/index.php/tjps/article/view/184 |
| work_keys_str_mv | AT mohammedkhalidshahoodh usingtouchardpolynomialsmethodforsolvingvolterrafredholmintegrodifferentialequations |