| Autor: |
Majeed, Salam Adil, Abdulqader, Alan Jalal |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2023, Vol. 2834 Issue 1, p1-11, 11p |
| Abstrakt: |
In this paper, we compare two methods for solving Nonlinear Nonhomogeneous Volterra-Integral Equations with known exact algebraic solutions using the "Modified Decomposition Method" and demonstrate the existence and uniqueness of such solutions. Initially, using a numerical technique, a near-exact answer was quickly and easily obtained. Secondly, knowing that a solution to a multi-term Volterra equation always produces a partial combination of the input terms, a combinatory system was then used to find the correct combination representing the exact solution. This method grows exponentially and is only practical for a few terms Volterra equations. Both approaches are detailed with examples using Maple software with performance measurements that show that the numerical system is the winner if a near-exact solution is sufficient enough, which the case for most engineering applications is. For scientific and mathematical applications, the combinatory approach is preferred. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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