Comparison between homotopy analysis method and optimal homotopy asymptotic method for nth-order integro-differential equation
Copyright policy )Comparison between homotopy analysis method and optimal homotopy asymptotic method for nth-order integro-differential equation
Summary: This paper presents a general framework for solving an \(n\)th-order integro-differential equation using homotopy analysis method (HAM) and optimal homotopy asymptotic method (OHAM). OHAM is parameter free and can provide better accuracy over the HAM at the same order of approximation. Furthermore, in OHAM the convergence region can be easily adjusted and controlled. Comparison, via two examples, between our solution using HAM and OHAM and the exact solution shows that the HAM and the OHAM are effective and accurate in solving the \(n\)th-order integro-differential equation.
- Universiti Sains Malaysia Malaysia
- Jerash University Jordan
- Jerash Private University Jordan
Integro-ordinary differential equations, numerical examples, series solution, homotopy analysis method, \(n\)th-order integro-differential equation, convergence region, Numerical methods for integral equations, optimal homotopy asymptotic method
Integro-ordinary differential equations, numerical examples, series solution, homotopy analysis method, \(n\)th-order integro-differential equation, convergence region, Numerical methods for integral equations, optimal homotopy asymptotic method
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