Solving Fuzzy System of Volterra Integro-differential Equations by using Adomian Decomposition Method
Mahasin Thabet Younis, Waleed Al‐Hayani
Abstract
In this paper, the Adomian decomposition method and Modified Technique are successfully applied to find the approximate solutions of the fuzzy system of Volterra integro-differential equations. The approximate solutions obtained have been improved by using the iteration of the integral equation and the numerical solution with the Simpson rule and Trapezoidal rule. These proposed methods gave excellent results close to the exact solution. The results show that the present method is very straightforward and effective.
Topics & Concepts
Adomian decomposition methodMathematicsDecomposition method (queueing theory)Volterra integral equationFuzzy logicApplied mathematicsVolterra equationsDifferential equationDecompositionTrapezoidal ruleMathematical analysisIntegral equationNonlinear systemNumerical integrationDiscrete mathematicsComputer sciencePhysicsEcologyQuantum mechanicsArtificial intelligenceBiologyFractional Differential Equations Solutions