Convergent power series of \(\operatorname{sech}(x)\) and solutions to nonlinear differential equations
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Publication:1656168
DOI10.1155/2018/6043936zbMath1487.34056OpenAlexW2789183331MaRDI QIDQ1656168
Publication date: 10 August 2018
Published in: International Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/6043936
Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
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Cites Work
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- Breaking the limits: The Taylor series method
- Systematic search of symmetric periodic orbits in 2DOF Hamiltonian systems
- Periodic, escape and chaotic orbits in the Copenhagen and the \((n + 1)\)-body ring problems
- Solving differential-algebraic equations by Taylor series. II: Computing the system Jacobian
- A three-parametric study of the Lorenz model
- Analytic studies and numerical simulations of the generalized Boussinesq equation
- Solving high-index DAEs by Taylor series
- Solving frontier problems of physics: the decomposition method
- ATOMFT: Solving ODEs and DAEs using Taylor series
- On the homotopy analysis method for nonlinear problems.
- A rigorous ODE solver and Smale's 14th problem
- Performance of the Taylor series method for ODEs/DAEs
- Validated solutions of initial value problems for ordinary differential equations
- Derivation of the Adomian decomposition method using the homotopy analysis method
- Solving differential-algebraic equations by Taylor series. I: Computing Taylor coefficients
- Method for Solving the Korteweg-deVries Equation
- A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
- PAINTING CHAOS: A GALLERY OF SENSITIVITY PLOTS OF CLASSICAL PROBLEMS
- Solving Ordinary Differential Equations Using Taylor Series
- Deterministic Nonperiodic Flow
- Extended homotopy perturbation method and the axisymmetric flow past a porous stretching sheet
- Integrals of nonlinear equations of evolution and solitary waves
- A General Approach to Obtain Series Solutions of Nonlinear Differential Equations
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