Solving linear and nonlinear initial value problems by the projected differential transform method
DOI10.1016/j.cpc.2009.12.020zbMath1205.65205OpenAlexW2039724154MaRDI QIDQ615150
Publication date: 5 January 2011
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2009.12.020
algorithmnumerical examplesinitial value problemsTaylor seriesspline methoddifferential transform methodAdomian decompositionvariational iteration
Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items
Cites Work
- Beyond Adomian method: the variational iteration method for solving heat-like and wave-like equations with variable coefficients
- Solitary wave solutions for the KdV and mKdV equations by differential transform method
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Two-point boundary value problems by the extended Adomian decomposition method
- Solutions to the non-homogeneous parabolic problems by the extended HADM
- Variational iteration method -- some recent results and new interpretations
- Solving frontier problems of physics: the decomposition method
- On the two-dimensional differential transform method
- Exact solutions for heat-like and wave-like equations with variable coefficients.
- Solving partial differential equations by two-dimensional differential transform method
- Solution of linear and nonlinear parabolic equations by the decomposition method
- An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients
- Two-dimensional differential transform for partial differential equations
- Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
- Comparison differential transformation technique with adomian decomposition method for linear and nonlinear initial value problems
- Spline methods for the solution of hyperbolic equation with variable coefficients
This page was built for publication: Solving linear and nonlinear initial value problems by the projected differential transform method