An innovative harmonic numbers operational matrix method for solving initial value problems
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Publication:2363672
DOI10.1007/s10092-016-0176-1zbMath1373.65046OpenAlexW2341812859MaRDI QIDQ2363672
Anna Napoli, Waleed M. Abd-Elhameed
Publication date: 25 July 2017
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-016-0176-1
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)
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Cites Work
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- Numerical investigation of a third-order ODE from thin film flow
- Collocation for high order differential equations with two-points Hermite boundary conditions
- Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method
- A tau approach for solution of the space fractional diffusion equation
- A class of collocation methods for numerical integration of initial value problems
- Solutions of tenth-order boundary value problems using eleventh degree spline
- On the coefficients of differentiated expansions and derivatives of Chebyshev polynomials of the third and fourth kinds
- Efficient multi-dimensional solution of PDEs using Chebyshev spectral methods
- The use of quartic splines in the numerical solution of a fourth-order boundary value problem
- A note on the numerical solution of high-order differential equations
- Wavelet operational matrix method for solving fractional differential equations with variable coefficients
- Collocation for high-order differential equations with Lidstone boundary conditions
- Numerical solution of the regularized long wave equation using nonpolynomial splines
- Numerical algorithm based on quintic nonpolynomial spline for solving third-order boundary value problems associated with draining and coating flows
- On the coefficients of integrated expansions and integrals of Chebyshev polynomials of third and fourth kinds
- Hierarchical cascade model leading to 7-th order initial value problem
- Numerical solution of high order Bernoulli boundary value problems
- An efficient method based on operational matrices of Bernoulli polynomials for solving matrix differential equations
- New algorithms for solving high even-order differential equations using third and fourth Chebyshev-Galerkin methods
- Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials
- On Solving Linear and Nonlinear Sixth-Order Two PointBoundary Value Problems Via an Elegant HarmonicNumbers Operational Matrix of Derivatives
- Spectral Methods for Time-Dependent Problems
- Spectral Methods in MATLAB
- A method for high-order multipoint boundary value problems with Birkhoff-type conditions
- A reliable modification of the Adomian decomposition method for higher‐order nonlinear differential equations
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