Modified Chebyshev collocation method for pantograph-type differential equations
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Publication:1671739
DOI10.1016/j.apnum.2018.08.002zbMath1460.65096OpenAlexW2886257756MaRDI QIDQ1671739
Publication date: 7 September 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.08.002
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
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Cites Work
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- Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials
- A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation
- A Taylor polynomial approach in approximations of solution to pantograph stochastic differential equations with Markovian switching
- A collocation method using Hermite polynomials for approximate solution of pantograph equations
- Stability of a class of Runge--Kutta methods for a family of pantograph equations of neutral type
- A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
- Spectral methods for pantograph-type differential and integral equations with multiple delays
- High order stable Runge-Kutta methods for nonlinear generalized pantograph equations on the geometric mesh
- Orthoexponential polynomial solutions of delay pantograph differential equations with residual error estimation
- An exponential approximation for solutions of generalized pantograph-delay differential equations
- Properties of analytic solution and numerical solution of multi-pantograph equation
- Legendre spectral collocation methods for pantograph Volterra delay-integro-differential equations
- Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
- Direct operatorial tau method for pantograph-type equations
- Shifted Legendre approximation with the residual correction to solve pantograph-delay type differential equations
- On solving systems of multi-pantograph equations via spectral tau method
- A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations
- Numeric solutions for the pantograph type delay differential equation using first Boubaker polynomials
- Approximate solution of multi-pantograph equation with variable coefficients
- A rational approximate solution for generalized pantograph-delay differential equations
- Local Superconvergence of Continuous Galerkin Solutions for Delay Differential Equations of Pantograph Type
- Bernstein series solutions of pantograph equations using polynomial interpolation
- A Bessel collocation method for numerical solution of generalized pantograph equations
- The asymptotic behaviour of theθ-methods with constant stepsize for the generalized pantograph equation
- Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type
- A Mellin transform solution to a second-order pantograph equation with linear dispersion arising in a cell growth model
- A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
- Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
- Stability of one-leg -methods for the variable coefficient pantograph equation on the quasi-geometric mesh
- Stability of the Discretized Pantograph Differential Equation
- Spectral Methods
