7 research outputs found
Optimal Homotopy Asymptotic Method for Solving Delay Differential Equations
We extend for the first time the applicability of
the optimal homotopy asymptotic method (OHAM) to find the
algorithm of approximate analytic solution of delay differential
equations (DDEs). The analytical solutions for various examples of
linear and nonlinear and system of initial value problems of DDEs are
obtained successfully by this method. However, this approach does
not depend on small or large parameters in comparison to other
perturbation methods. This method provides us with a convenient way
to control the convergence of approximation series. The results
which are obtained revealed that the proposed method is explicit,
effective, and easy to use
Numerical Scheme for Solving Singular Two-Point Boundary Value Problems
Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method is investigated by comparing the results obtained with the exact solution, which proves the reliability of the method
Numerical scheme for solving singular two-point boundary value problems
Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method is investigated by comparing the results obtained with the exact solution, which proves the reliability of the method
Multiple Solutions of Problems in Fluid Mechanics by Predictor Optimal Homotopy Asymptotic Method
Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem
We extend for the first time the applicability of the Optimal Homotopy Asymptotic Method (OHAM) to find approximate solution of a system of two-point boundary-value problems (BVPs). The OHAM provides us with a very simple way to control and adjust the convergence of the series solution using the auxiliary constants which are optimally determined. Comparisons made show the effectiveness and reliability of the method
Approximate solution of nonlinear system of BVP arising in fluid flow problem,”Mathematical
We extend for the first time the applicability of the Optimal Homotopy Asymptotic Method (OHAM) to find approximate solution of a system of two-point boundary-value problems (BVPs). The OHAM provides us with a very simple way to control and adjust the convergence of the series solution using the auxiliary constants which are optimally determined. Comparisons made show the effectiveness and reliability of the method