Approximate Solution to the Generic Initial Value Problem for Nonlinear Reaction-Diffusion Equations

1974 ◽  
Vol 26 (2) ◽  
pp. 221-224 ◽  
Author(s):  
Gerald Rosen
Keyword(s):  
Approximate Solution ◽  
Initial Value Problem ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Initial Value ◽  
Nonlinear Reaction

scholarly journals Wavelet Solution for Nonlinear Reaction-Diffusion Equations

2019 ◽  
Vol 8 (6) ◽  
pp. 226-229
Keyword(s):  
Approximate Solution ◽  
Theoretical Analysis ◽  
Error Bound ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Nonlinear Pde ◽  
Diffusion Equations ◽  
Legendre Wavelets ◽  
Connection Coefficients ◽  
Nonlinear Reaction

In this paper, we consider Fisher’s equation to find the approximate solution to overcome the difficulty to handle its nonlinearity. For solving this nonlinear PDE, we propose a method based on Legendre wavelets with lesser number of connection coefficients. We also study the theoretical analysis and error bound for the proposed technique. Two examples are tested with the proposed method to show the applicability and efficiency. The outcomes show that this approach fulfils the error bound conditions.

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