Comparison of modified ADM and classical finite difference method for some third-order and fifth-order KdV equations
DOI10.1515/dema-2021-0039zbMath1479.35733OpenAlexW3215343711MaRDI QIDQ2053479
Abey Sherif Kelil, Appanah Rao Appadu
Publication date: 29 November 2021
Published in: Demonstratio Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/dema-2021-0039
blow upmodified Adomian decomposition methodclassical finite difference methodnonlinear KdV equations
KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Other special methods applied to PDEs (35A25) Blow-up in context of PDEs (35B44)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convenient analytic recurrence algorithms for the Adomian polynomials
- New recurrence algorithms for the nonclassic Adomian polynomials
- Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
- Solitons and periodic solutions for the fifth-order KdV equation
- Noise terms in decomposition solution series
- Travelling wave solutions to a perturbed Korteweg-de Vries equation
- Necessary conditions for the appearance of noise terms in decomposition solution series
- Application of Adomian method on the solution of the elastic wave propagation in elastic bars of finite length with randomly and linearly varying Young's modulus.
- A convergence analysis of the ADM and an application
- Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg-de Vries equations
- Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
- The technique of MIEELDLD as a measure of the shock-capturing property of numerical methods for hyperbolic conservation laws
- Geometric numerical schemes for the KdV equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Computing the weak limit of KdV
- New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations
- Advanced Numerical and Semi‐Analytical Methods for Differential Equations
- Adomian Polynomial and Elzaki Transform Method of Solving Fifth Order Korteweg-De Vries Equation
- A review of the decomposition method and some recent results for nonlinear equations
This page was built for publication: Comparison of modified ADM and classical finite difference method for some third-order and fifth-order KdV equations
