Solutions of system of Volterra integro‐differential equations using optimal homotopy asymptotic method
Praveen Agarwal, Muhammad Akbar, Rashid Nawaz, Mohamed Jleli
Abstract
In this paper, a powerful semianalytical method known as optimal homotopy asymptotic method (OHAM) has been formulated for the solution of system of Volterra integro‐differential equations. The effectiveness and performance of the proposed technique are verified by different numerical problems in the literature, and the obtained results are compared with Sinc‐collocation method. These results show the reliability and effectiveness of the proposed method. The proposed method does not require discretization like other numerical methods. Moreover, the convergence region can easily be controlled. The use of OHAM is simple and straightforward.
Topics & Concepts
MathematicsHomotopy analysis methodHomotopyDiscretizationConvergence (economics)Collocation methodApplied mathematicsOrdinary differential equationSinc functionNumerical analysisCollocation (remote sensing)Simple (philosophy)Reliability (semiconductor)Differential equationMathematical analysisMathematical optimizationComputer scienceEpistemologyPhilosophyQuantum mechanicsMachine learningEconomic growthPower (physics)PhysicsEconomicsPure mathematicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Differential Equations Analysis