Bibliographic Details
| Title: |
Numerical solutions of Fredholm integral and integro-differential equations. |
| Authors: |
Huseen, Shaheed N.1 (AUTHOR) shn_n2002@yahoo.com, Shlaka, Rawan A.2 (AUTHOR) rawanadnansh33@gmail.com |
| Source: |
AIP Conference Proceedings. 2023, Vol. 2834 Issue 1, p1-13. 13p. |
| Subject Terms: |
*INTEGRAL equations, *INTEGRO-differential equations |
| Abstract: |
this paper we introduce a new modification of q-homotopy analysis method namely Simpson's q-homotopy analysis method (Sq-HAM) which is composition of Simpson's 1/3 rule and q-homotopy analysis method to find an approximate solutions to the non-linear Fredholm integral and integro-differential equations. u (i) (x) = f (x) + λ ∫ a b K (x , t) F (u (t)) d t , i ≥ 0 u (a) = α 0 , u ' (a) = α 1 , ⋯ , u (i − 1) (a) = α i − 1 , after expressed of integral part of integral equation as composite Simpsons 1 3 rule and solve a resulting equation by using the q-homotopy analysis method. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Complete |
