Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations
DOI10.1186/S13661-024-01880-0MaRDI QIDQ6587682
Publication date: 14 August 2024
Published in: Boundary Value Problems (Search for Journal in Brave)
collocation methodinitial value problemsJacobi polynomialsfractional differential equationsgeneralized hypergeometric functionsRiemann-Liouville fractional integral
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear boundary value problems for ordinary differential equations (34B05) Fractional ordinary differential equations (34A08)
Cites Work
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- New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method
- Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
- Chebyshev series approach to system identification, analysis and optimal control
- A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley-Torvik equation
- A new generalized Jacobi Galerkin operational matrix of derivatives: two algorithms for solving fourth-order boundary value problems
- The role of fractional calculus in modeling biological phenomena: a review
- Jacobi spectral discretization for nonlinear fractional generalized seventh-order KdV equations with convergence analysis
- New fractional derivative expression of the shifted third-kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations
- Exponential Jacobi spectral method for hyperbolic partial differential equations
- Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains
- Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations
- Hierarchical cascade model leading to 7-th order initial value problem
- An innovative harmonic numbers operational matrix method for solving initial value problems
- The operational matrix of integration for Bessel functions
- Variable-Order Fractional Operators for Adaptive Order and Parameter Estimation
- Shifted Jacobi collocation scheme for multidimensional time-fractional order telegraph equation
- Parameter identification via Laguerre polynomials
- The variable viscoelasticity oscillator
- Fractional Variational Calculus of Variable Order
- Legendre series approach to identification and analysis of linear systems
- Solving an inverse heat conduction problem using a non-integer identified model
- Highly accurate method for boundary value problems with Robin boundary conditions
- Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations
- Highly accurate method for a singularly perturbed coupled system of convection-diffusion equations with Robin boundary conditions
- Romanovski-Jacobi spectral schemes for high-order differential equations
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