Titlebook: Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering; G. Hariharan Book 2019 The Editor(s) (if applicable) and The

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,Two Reliable Wavelet Methods to Fitzhugh–Nagumo (FN) and Fractional FN Equations,n this paper, we have developed the wavelet methods to find the approximate solutions for the Fitzhugh–Nagumo (FN) and fractional FN equations. The proposed method techniques provide the solutions in rapid convergence series with computable terms.

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Wavelet-Based Analytical Expressions to Steady-State Biofilm Model Arising in Biochemical Engineeribyshev wavelet-based approximation method is successfully introduced in solving nonlinear steady-state biofilm reaction model. Analytical solutions for substrate concentration have been derived for all values of the parameters . and .. The power of the manageable method is confirmed. Some numerical

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Book 2019r differential equations that arise when modelling real physical phenomena. It explores the analytical and numerical approximate solutions obtained by wavelet methods for both classical and fractional-order differential equations; provides comprehensive information on the conceptual basis of wavelet

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,A New Coupled Wavelet-Based Method Applied to the Nonlinear Reaction–Diffusion Equation Arising in numerical example to demonstrate the validity and applicability of the method. Moreover, the use of proposed wavelet-based coupled method is found to be simple, efficient, less computation costs, and computationally attractive.

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An Efficient Wavelet-Based Spectral Method to Singular Boundary Value Problems,rted into a system of algebraic equations. The convergence of the proposed method is established. The power of the manageable method is confirmed. Finally, we have given some numerical examples to demonstrate the validity and applicability of the proposed wavelet method.

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Haar Wavelet Method for Solving Some Nonlinear Parabolic Equations,proposed scheme can be used to a wide class of nonlinear equations. The power of this manageable method is confirmed. Moreover, the use of Haar wavelets is found to be accurate, simple, fast, flexible, convenient, small computation costs, and computationally attractive.

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Wavelet-Based Analytical Expressions to Steady-State Biofilm Model Arising in Biochemical Engineeriexamples are presented to demonstrate the validity and applicability of the wavelet method. Moreover, the use of Chebyshev wavelets is found to be simple, efficient, flexible, convenient, small computation costs, and computationally attractive.