Recent development of Adomian decomposition method for ordinary and partial differential equations
DOI10.1007/s40819-022-01285-6zbMath1499.34110OpenAlexW4221031129MaRDI QIDQ2144723
Publication date: 14 June 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-022-01285-6
Laplace transformboundary value problemsinitial value problemsAdomian decomposition methodsingular differential equationsseries solutionsmodified ADM
Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Series solutions to PDEs (35C10)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the solution of characteristic value problems arising in linear stability analysis; semi analytical approach
- An efficient numerical technique for the solution of nonlinear singular boundary value problems
- A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell-Whitehead-Segel equation
- An efficient algorithm for the multivariable Adomian polynomials
- Convenient analytic recurrence algorithms for the Adomian polynomials
- Exact solutions of Laplace equation by homotopy-perturbation and Adomian decomposition methods
- Applying Adomian decomposition method to solve Burgess equation with a non-linear source
- A convenient computational form for the Adomian polynomials
- Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations
- A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends
- Partial differential equations and solitary waves theory
- On the Adomian (decomposition) method and comparisons with Picard's method
- A review of the decomposition method in applied mathematics
- On the solution of partial differential equations with specified boundary conditions
- Solving frontier problems modelled by nonlinear partial differential equations
- Nonlinear transformation of series. II
- Generalization of Adomian polynomials to functions of several variables
- A reliable modification of Adomian decomposition method
- A comparison between Adomian decomposition method and Taylor series method in the series solutions
- Solving frontier problems of physics: the decomposition method
- An aftertreatment technique for improving the accuracy of Adomian's decomposition method
- Solution of Lane-Emden type equations by combination of the spectral method and Adomian decomposition method
- Solution for the nonlinear relativistic harmonic oscillator via Laplace-Adomian decomposition method
- Numerical solution of a viscous incompressible flow problem through an orifice by Adomian decomposition method
- A new algorithm for solving classical Blasius equation
- Practical formulae for the calculus of multivariable Adomian polynomials
- New approach for solving a class of doubly singular two-point boundary value problems using Adomian decomposition method
- Non-standard finite difference based numerical method for viscous Burgers' equation
- Approximate solution of singular IVPs of Lane-Emden type and error estimation via advanced Adomian decomposition method
- Solution of singular one-dimensional Boussinesq equation by using double conformable Laplace decomposition method
- A rapid-converging analytical iterative scheme for solving singular initial value problems of Lane-Emden type
- Numerical algorithm for solution of the system of Emden-Fowler type equations
- A novel analytic approximation method with a convergence acceleration parameter for solving nonlinear problems
- ADMP: a Maple package for symbolic computation and error estimating to singular two-point boundary value problems with initial conditions
- Jacobi elliptic function expansion method for solving KdV equation with conformable derivative and dual-power law nonlinearity
- An extension of the decomposition method for solving nonlinear equations and its convergence
- A numerical solution of the coupled sine-Gordon equation using the modified decomposition method
- Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
- Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
- Finding exact solutions of nonlinear PDEs using the natural decomposition method
- Solving the Lane–Emden–Fowler Type Equations ofHigher Orders by the Adomian Decomposition Method
- ON SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR FOURTH-ORDER BEAM EQUATIONS
- Approximate solutions to the conformable Rosenau‐Hyman equation using the two‐step Adomian decomposition method with Padé approximation
- Adomian Decomposition Method Using Integrating Factor
- Higher order numeric solutions of the Lane–Emden-type equations derived from the multi-stage modified Adomian decomposition method
- A review of the decomposition method and some recent results for nonlinear equations
- A reliable modification of the Adomian decomposition method for higher‐order nonlinear differential equations
This page was built for publication: Recent development of Adomian decomposition method for ordinary and partial differential equations