Solving the burgers' and regularized long wave equations using the new perturbation iteration technique
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Date
2018
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Abstract
In this study, an efficient framework is provided to handle nonlinear partial differential equations by implementing perturbation iteration method. This method is recovered and amended to solve the Burgers' and regularized long wave equations. Comparing our new solutions with the exact solutions reveals that this technique is extremely accurate and effective in solving nonlinear models. Convergence analysis and error estimate are also supplied using some critical theorems. © 2017 Wiley Periodicals, Inc.
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Keywords
Iterative methods , Nonlinear equations , Partial differential equations , Perturbation techniques , convergence , Convergence analysis , Critical Theorem , Iteration method , Iteration techniques , Non-linear model , Nonlinear partial differential equations , Regularized long wave equation , Wave equations