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Developing a finite difference hybrid method for solvingsecond order initial-value problems for the Volterra typeintegro-differential equations |
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| รหัสดีโอไอ | |
| Creator | 1. Kamoh Nathaniel Mahwash 2. Kumleng Micah Geoffrey |
| Title | Developing a finite difference hybrid method for solvingsecond order initial-value problems for the Volterra typeintegro-differential equations |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2563 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 42 |
| Journal No. | 3 |
| Page no. | 590-595 |
| Keyword | Volterra integro differential equations, finite difference method, hybrid method, shifted legendre polynomials, trapezoidal rule |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | It is well known that the study of many processes of the natural sciences can be reduced to solving Volterra integrodifferential equations. Recent studies on certain problems of the environment such as the HIV virus, bird flu virus, and diseasesassociated with mutations of viruses have become relevant. A solution to such problems is associated with findingsolutions of VIDEs. There are several classes of methods for solving IDEs. In contrast to the known methods, this paper developedthe finite difference hybrid method by a combination of power series and the shifted Legendre polynomial through a block methodwhich is self-starting and helped in eliminating the problem inherent with finding special predictors to estimate ???in theintegrators. The method was analyzed and the result revealed that the method is consistent, zero stable and convergent. Some testexamples were considered and the results compared favorably with some existing methods. |
