MODIFIED DECOMPOSITION METHOD FOR SOLVING LINEAR SECOND-ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
الباحث الأول:
Anas Al-Haboobi
الباحثين الآخرين:
Ghassan A. Al-Guaifri
المجلة:
JOURNAL OF MECHANICS OF CONTINUA AND
MATHEMATICAL SCIENCES
تاريخ النشر:
None
مختصر البحث:
This paper applies Modifed Decomposition Method (MDM) as numerical
analysis linear second-order FredholmIntegro-differential Equations. The calculation
of the approximate solutions are computed by mathematical package. The main aim
of this pa…
This paper applies Modifed Decomposition Method (MDM) as numerical
analysis linear second-order FredholmIntegro-differential Equations. The calculation
of the approximate solutions are computed by mathematical package. The main aim
of this paper is to demonstrate how effective this method minimizes the size of
calculations and reaching the final solution in the shortest time and best result. When
com paring the results with the (ADM) and with the exact solution, we will note how
effective this method minimizes the size of calculations of the solution and reaches the
exact solution. Accordingly, the (MDM) is the best method to be used to solve linear
second-order FredholmIntegro-Differential equation. The convertion to the exact
solution is notably fast and also a time saver, as it requires less computational work
in solving equations. This is why the (MDM) is more efficient in solving this kind of
equations.
