An optimized decomposition method for nonlinear ordinary and partial differential equations
From MaRDI portal
Publication:2137601
DOI10.1016/j.physa.2019.123323OpenAlexW2982423483WikidataQ126859055 ScholiaQ126859055MaRDI QIDQ2137601
Publication date: 16 May 2022
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2019.123323
Klein-Gordon equationlinear approximationAdomian decomposition methodnonlinear differential equationFitzhugh-Nagumo equationoptimized decomposition method
Related Items (13)
Differential transform method for the solutions to some initial value problems in chemistry ⋮ An improved optimal homotopy analysis algorithm for nonlinear differential equations ⋮ Analytical approximate solutions for differential equations with generalized Caputo-type fractional derivatives ⋮ The multistep Laplace optimized decomposition method for solving fractional-order coronavirus disease model (COVID-19) via the Caputo fractional approach ⋮ A study on fractional host–parasitoid population dynamical model to describe insect species ⋮ A Legendre‐based approach of the optimized decomposition method for solving nonlinear Caputo‐type fractional differential equations ⋮ Optimized decomposition method for solving multi-dimensional Burgers' equation ⋮ Laplace transform‐based approximation methods for solving pure aggregation and breakage equations ⋮ On q,ω -differential transform method ⋮ Computational and numerical solutions for \((2+1)\)-dimensional integrable Schwarz-Korteweg-de Vries equation with Miura transform ⋮ Application of Adomian decomposition method to nonlinear systems ⋮ An analytical scheme on complete integrability of 2D biophysical excitable systems ⋮ A novel optimized decomposition method for Smoluchowski's aggregation equation
Cites Work
- Unnamed Item
- Two reliable methods for solving the Volterra integral equation with a weakly singular kernel
- Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method
- The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations
- A new improved Adomian decomposition method and its application to fractional differential equations
- Solving delay differential systems with history functions by the Adomian decomposition method
- Numerical solutions of two-dimensional Burgers' equations by discrete Adomian decomposition method
- Free vibration analysis of stepped beams by using Adomian decomposition method
- Convenient analytic recurrence algorithms for the Adomian polynomials
- Adomian decomposition method for nonlinear differential-difference equations
- Approximate solutions for boundary value problems of time-fractional wave equation
- The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations
- Improved Adomian decomposition method
- A comparison between the variational iteration method and Adomian decomposition method
- A review of the decomposition method in applied mathematics
- New results for convergence of Adomian's method applied to integral equations
- A reliable modification of Adomian decomposition method
- Analytical approximations and Padé approximants for Volterra's population model
- Solving frontier problems of physics: the decomposition method
- Necessary conditions for the appearance of noise terms in decomposition solution series
- Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
- An aftertreatment technique for improving the accuracy of Adomian's decomposition method
- A novel fast modification of the Adomian decomposition method to solve integral equations of the first kind with hypersingular kernels
- 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
- Adomian decomposition method for a reliable treatment of the Emden-Fowler equation
- A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions
- A new modification of the Adomian decomposition method for linear and nonlinear operators
- Practical formulae for the calculus of multivariable Adomian polynomials
- A new modified Adomian decomposition method for solving a class of hypersingular integral equations of second kind
- Simulation of tapered rotating beams with centrifugal stiffening using the Adomian decomposition method
- Application of modified Adomian decomposition method to pull-in instability of nano-switches using nonlocal Timoshenko beam theory
- Solving Cauchy integral equations of the first kind by the Adomian decomposition method
- A new modification of the homotopy perturbation method for linear and nonlinear operators
- Numerical comparison of methods for solving linear differential equations of fractional order
- New applications of Adomian decomposition method
- Analytical solution of the linear fractional differential equation by Adomian decomposition method
- The modified decomposition method for analytic treatment of differential equations
- Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method
- Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
- A new definition of the Adomian polynomials
- A linearization‐based approach of homotopy analysis method for non‐linear time‐fractional parabolic PDEs
- A Laplace Decomposition Method for Nonlinear Partial Differential Equations with Nonlinear Term of Any Order
- A new approach to nonlinear partial differential equations
This page was built for publication: An optimized decomposition method for nonlinear ordinary and partial differential equations