A new approach to solve a diffusion‐convection problem
From MaRDI portal
Publication:4781500
DOI10.1108/03684920210422610zbMath1015.65053OpenAlexW2067453717MaRDI QIDQ4781500
Publication date: 27 July 2003
Published in: Kybernetes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1108/03684920210422610
numerical examplesAdomian decomposition methodcomparison of methodnonlinear diffusion-convection problem
Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
On numerical soliton solution of the Kaup-Kupershmidt equation and convergence analysis of the decomposition method ⋮ An algorithm for solving the fractional convection-diffusion equation with nonlinear source term ⋮ An avant-garde handling of temporal-spatial fractional physical models ⋮ Analytic simulation of the synergy of spatial-temporal memory indices with proportional time delay ⋮ Simulating the joint impact of temporal and spatial memory indices via a novel analytical scheme ⋮ Geometrical interpretation and approximate solution of non‐linear KdV equation ⋮ A reliable approach to the Korteweg‐de Vries equation. ⋮ A comparison of numerical solutions of fourth‐order boundary value problems ⋮ Optimal variational asymptotic method for nonlinear fractional partial differential equations ⋮ A reliable method for obtaining approximate solutions of linear and nonlinear Volterra‐Fredholm integro‐differential equations ⋮ Exact solutions with solitary patterns for the Zakharov-Kuznetsov equations with fully nonlinear dispersion ⋮ The Decomposition Method For Solving Of A Class Of Singular Two-Point Boundary Value Problems ⋮ A comparison between Adomian decomposition and Tau methods
Cites Work
- On Adomian's decomposition method and some comparisons with Picard's iterative scheme
- Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations
- A comparison between Adomian's decomposition methods and perturbation techniques for nonlinear random differential equations
- Stochastic water reservoir modeling
- Polynomial nonlinearities in differential equations
- On the Adomian (decomposition) method and comparisons with Picard's method
- On KdV type equations
- Transformation of series
- New results for convergence of Adomian's method applied to integral equations
- Noise terms in decomposition solution series
- A comparison between Adomian decomposition method and Taylor series method in the series solutions
- Decomposition methods: A new proof of convergence
- Convergence of Adomian's method applied to differential equations
- Necessary conditions for the appearance of noise terms in decomposition solution series
- A nonperturbative analytical solution of immune response with time-delays and possible generalization
- New ideas for proving convergence of decomposition methods
- Modelling of the thermic exchanges during a drilling. Resolution with Adomian's decomposition method
- Software for Nonlinear Partial Differential Equations
- Equality of partial solutions in the decomposition method for partial differential equations
- A new approach to nonlinear partial differential equations
