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The Laplace Adomian decomposition method (LADM) is used to solve the NewellWhitehead-Segel equation. As a result, exact solution of the equation is obtained.
In this paper, the KdV system and Burgers–Huxley Equation is studied by using numerical analysis. So, capability of the method in solving the nonlinear problems can be proved.
The study is presented to analyze nonlinear dynamics of dissipative wave patterns for Newell-Whitehead-Segel equation. Thus, different models of wave patterns in the approximate as well as exact solutions of the equation is obtained and presented. The study can introduce a new method in type of solutions in Nonlinear Differential Equations.
In the study, the painleve analysis and backlund transformation methods are used to obtain the exact solution of the Burgers-Huxley Equation. As a result, the study presents capabilities of the methods in solving the nonlinear differential equations.
In order to calculate the exact solution of the Fisher Type Equation, the Riccati equation method with variable expansion coefficients is implemented. The results proved the effectiveness of the method in solving the Nonlinear Differential Equations.
To calculate the exact solutions of the Korteweg-de Vries-Burgers Equation, Optimal Homotopy Asymptotic Method is implemented. The study proved that the method is effective to solve the equation.
In this paper, the Burger's–Fisher equation is considered to be analyzed by Numerical scheme. Thus, the exact solution of the equation is obtained to present capability of the method in solving the Nonlinear Differential Equations.
The modified pseudospectral method is used in the study to obtain the Exact Solution of Burger's–Fisher equation. The study can approve accuracy and efficiency in obtaining the exact solutions.
The Haar wavelet method is used in the study to obtain the Exact Solution of Burger's–Fisher equation. The study can approve accuracy and efficiency in obtaining the exact solutions.
In this section of the book, a computational meshless method is used in order to obtain the exact solution of the Burgers-Huxley Equation. Therefore, the study proves that the method is effective method to solve the Nonlinear Differential Equations.
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