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Numerical Approximations of Fredholm-Volterra Integral Equation of 2nd kind using Galerkin and Collocation Methods |
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| รหัสดีโอไอ | |
| Creator | Hasib Uddin Molla |
| Title | Numerical Approximations of Fredholm-Volterra Integral Equation of 2nd kind using Galerkin and Collocation Methods |
| Contributor | Goutam Saha |
| Publisher | Faculty of Science and Technology, Suan Sunandha Rajabhat University |
| Publication Year | 2563 |
| Journal Title | Suan Sunandha Science and Technology Journal |
| Journal Vol. | 7 |
| Journal No. | 2 |
| Page no. | 15 to 22 |
| Keyword | Fredholm-Volterra integral equations, Galerkin method, collocation method, polynomials |
| URL Website | www.ssstj.sci.ssru.ac.th |
| Website title | Suan Sunandha Science and Technology Journal (SSSTJ) |
| ISSN | 2351-0893 |
| Abstract | Galerkin and collocation approximation techniques are very effective and popular among researchers fornumerical approximations of different types of differential, integral and integro-differential equations. Bothmethods approximate the solution by a finite sum of some known polynomials. In recent years, researchersaround the world have been used different combinations of polynomials and collocation points in Galerkin andcollocation methods for numerical approximations of different types of integral equations. Also, collocationmethod have been used more frequently compared to the Galerkin method. In this research, five differentpolynomials in Galerkin method and five different combinations of polynomials and collocation points incollocation method have been used for numerical approximations of linear FVIE of 2nd kind.It is found that theperformances of different polynomials and collocation points in both these methods are consistent. |
