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Numerical Methods for Partial Differential Equations | Vol.34, Issue.2 | | Pages

Numerical Methods for Partial Differential Equations

Solving the burgers' and regularized long wave equations using the new perturbation iteration technique

Necdet Bildik   Sinan Deniz  
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.

Original Text (This is the original text for your reference.)

Solving the burgers' and regularized long wave equations using the new perturbation iteration technique

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.

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Necdet Bildik, Sinan Deniz,.Solving the burgers' and regularized long wave equations using the new perturbation iteration technique. 34 (2),.

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