Modified Legendre operational matrix of differentiation for solving strongly nonlinear dynamical systems
DOI10.1007/s40819-018-0545-3zbMath1400.34025OpenAlexW2888584063MaRDI QIDQ1794702
A. F. Jameel, Muhammed I. Syam, A. Sami Bataineh, A. K. Alomari, Mohammad F. Al-Jamal, N. Ratib Anakira
Publication date: 15 October 2018
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-018-0545-3
nonlinear differential equationschaotic systemsmass-spring systemsLegendre operator matrix of differentiation
Theoretical approximation of solutions to ordinary differential equations (34A45) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
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Cites Work
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- Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions
- Numerical solutions of integro-differential equations and application of a population model with an improved Legendre method
- Legendre wavelet operational matrix of derivative for optimal control in a convective-diffusive fluid problem
- Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions
- An efficient technique for finding the eigenvalues of fourth-order Sturm-Liouville problems
- A polynomial approximation for arbitrary functions
- Numerical algorithm to solve system of nonlinear fractional differential equations based on wavelets method and the error analysis
- A new operational matrix for solving fractional-order differential equations
- Electrohydrodynamic instability of a dielectric compressible liquid sheet streaming into an ambient stationary compressible gas
- Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Analysis of the response of a strongly nonlinear damped system using a differential transformation technique
- Cubic spline interpolation predictors over implicitly defined curves
- Numerical differentiation of implicitly defined curves
- Transitions from strongly to weakly nonlinear motions of damped nonlinear oscillators
- A new method based on Legendre polynomials for solutions of the fractional two-dimensional heat conduction equation
- Approximate solutions of singular two-point BVPs using Legendre operational matrix of differentiation
- Chaotic dynamics of the fractionally damped Duffing equation
- The modified Broyden-variational method for solving nonlinear elliptic differential equations
- Nonlinear differential equations with fractional damping with applications to the 1dof and 2dof pendulum
- Wavelets method for the time fractional diffusion-wave equation
- Numerical solution of singularly perturbed fifth order two point boundary value problem
- A Legendre Approximation for Solving a Fuzzy Fractional Drug Transduction Model into the Bloodstream
- Solving high-order linear differential equations by a Legendre matrix method based on hybrid Legendre and Taylor polynomials
- Oscillator with strong quadratic damping force
- An analytical solution to the equation of motion for the damped nonlinear pendulum
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