New ideas for decomposing nonlinearities in differential equations
From MaRDI portal
Publication:654646
DOI10.1016/j.amc.2011.06.061zbMath1234.34013OpenAlexW2059870734MaRDI QIDQ654646
Publication date: 29 December 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.06.061
nonlinear differential equationsAdomian decomposition methodDiophantine equationsAdomian polynomialsgeneralized decomposition
Related Items
Probabilistic interpretations of nonclassic Adomian polynomials, A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations, Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method, Resolution of nonlinear and non-autonomous ODEs by the ADM using a new practical Adomian polynomials, A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods
- A \texttt{Maple} package of new ADM-Padé approximate solution for nonlinear problems
- On Adomian's decomposition method and some comparisons with Picard's iterative scheme
- An efficient algorithm for the multivariable Adomian polynomials
- Near-field and far-field approximations by the Adomian and asymptotic decomposition methods
- Convenient analytic recurrence algorithms for the Adomian polynomials
- An algorithm for Adomian decomposition method
- Piecewise finite series solutions of seasonal diseases models using multistage Adomian method
- A convenient computational form for the Adomian polynomials
- Numerical algorithms and decomposition
- An iterative method for solving nonlinear functional equations
- Decomposition method for solving fractional Riccati differential equations
- Padé approximants and Adomian decomposition method for solving the Flierl-Petviashivili equation and its variants
- Recurrence triangle for Adomian polynomials
- Partial differential equations and solitary waves theory
- On a class of nonlinear dynamical systems: the structure of a differential operator in the application of the decomposition method
- On the Adomian (decomposition) method and comparisons with Picard's method
- Numerical integration, analytic continuation, and decomposition
- A modified decomposition
- New results for convergence of Adomian's method applied to integral equations
- A reliable modification of Adomian decomposition method
- Solving frontier problems of physics: the decomposition method
- Decomposition methods: A new proof of convergence
- The theoretical foundation of the Adomian method
- Convergence of Adomian's method applied to differential equations
- Modified Adomian polynomials
- A mathematical model of Adomian polynomials
- A new algorithm for calculating Adomian polynomials for nonlinear operators
- An aftertreatment technique for improving the accuracy of Adomian's decomposition method
- Nonlinear equations with mixed derivatives
- Inversion of nonlinear stochastic operators
- A new modification of the Adomian decomposition method for linear and nonlinear operators
- A new method for solving singular initial value problems in the second-order ordinary differential equations
- Solving Riccati differential equation using Adomian's decomposition method
- Solution of non-integer order differential equations via the Adomian decomposition method
- The solution of coupled Burgers' equations using Adomian-Padé technique
- A new algorithm for the decomposition solution of nonlinear differential equations
- Solution of system of fractional differential equations by Adomian decomposition method
- The modified decomposition method for analytic treatment of differential equations
- An improvement to an alternate algorithm for computing Adomian polynomials in special cases
- A new algorithm for calculating Adomian polynomials
- A developed new algorithm for evaluating Adomian polynomials
- Convergence of the Adomian decomposition method for initial-value problems
- Reduced Polynomials and Their Generation in Adomian Decomposition Methods
- Convergence of Adomian's Method
- THE NEW ADM–PADÉ TECHNIQUE FOR THE GENERALIZED EMDEN–FOWLER EQUATIONS
- A new definition of the Adomian polynomials
- Time evolution and fluctuations of the probability density and entropy function for a class of nonlinear stochastic systems in mathematical physics
- An Efficient Methodology for the Physical Sciences
- Convergence of Adomian's Method and Applications to Non‐linear Partial Differential Equations
- New results of convergence of Adomian’s method
- A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems
