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An optimal homotopy analysis transform method for handling nonlinear PDEs - MaRDI portal

An optimal homotopy analysis transform method for handling nonlinear PDEs (Q2101332)

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scientific article; zbMATH DE number 7626568

Language	Label	Description	Also known as
English	An optimal homotopy analysis transform method for handling nonlinear PDEs	scientific article; zbMATH DE number 7626568

Statements

scholarly article

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An optimal homotopy analysis transform method for handling nonlinear PDEs (English)

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Nabil T. Shawagfeh

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International Journal of Applied and Computational Mathematics

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publication date

5 December 2022

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zbMATH Keywords

homotopy analysis method

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homotopy analysis transform method

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linearization-based algorithm

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Laplace transform

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series solution

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s40819-022-01401-6

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Beyond Perturbation

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On the homotopy analysis method for nonlinear problems.

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A General Approach to Obtain Series Solutions of Nonlinear Differential Equations

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Notes on the homotopy analysis method: some definitions and theorems

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Activation of effector immune cells promotes tumor stochastic extinction: a homotopy analysis approach

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An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials

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Asymptotic limit cycle of fractional van der Pol oscillator by homotopy analysis method and memory-free principle

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A HAM-based wavelet approach for nonlinear partial differential equations: two dimensional Bratu problem as an application

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Estimating the approximate analytical solution of HIV viral dynamic model by using homotopy analysis method

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A new comparative study between homotopy analysis transform method and homotopy perturbation transform method on a semi infinite domain

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On exact solutions for time-fractional Korteweg-de Vries and Korteweg-de Vries-Burger's equations using homotopy analysis transform method

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On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations

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A linearization‐based approach of homotopy analysis method for non‐linear time‐fractional parabolic PDEs

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An improved optimal homotopy analysis algorithm for nonlinear differential equations

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The optimal homotopy analysis method applied on nonlinear time‐fractional hyperbolic partial differential equation<scp>s</scp>

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A linearization-based computational algorithm of homotopy analysis method for nonlinear reaction-diffusion systems

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S40819-022-01401-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:2101332

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