Spectral solutions with error analysis of Volterra-Fredholm integral equation via generalized Lucas collocation method
From MaRDI portal
Publication:2114628
DOI10.1007/s40819-021-01115-1OpenAlexW3190681384MaRDI QIDQ2114628
Publication date: 15 March 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-021-01115-1
collocation methodgeneralized Lucas polynomialsoperational matrixVolterra-Fredholm integral equationconvergence and error analysis
Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05)
Related Items
SEMI-ANALYTIC FIBONACCI POLYNOMIAL SOLUTION FOR VOLTERRA–FREDHOLM INTEGRAL EQUATION WITH ERROR ANALYSIS ⋮ Pell collocation pseudo spectral scheme for one-dimensional time-fractional convection equation with error analysis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solution of Volterra-Fredholm integral equations using Legendre collocation method
- A new Jacobi operational matrix: an application for solving fractional differential equations
- The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation
- He's variational iteration method for solving nonlinear mixed Volterra-Fredholm integral equations
- Hybrid function method for solving Fredholm and Volterra integral equations of the second kind
- Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations
- Lucas polynomial approach for system of high-order linear differential equations and residual error estimation
- Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems
- Generalized Lucas polynomial sequence approach for fractional differential equations
- Numerical solution of differential eigenvalue problems with an operational approach to the Tau method
- A new computational method for Volterra-Fredholm integral equations
- Jacobi collocation scheme for variable-order fractional reaction-subdiffusion equation
- Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport
- Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics
- Lucas polynomials semi-analytic solution for fractional multi-term initial value problems
- A new approach for solving integro-differential equations of variable order
- Chebyshev collocation treatment of Volterra-Fredholm integral equation with error analysis
- On shifted Jacobi spectral approximations for solving fractional differential equations
- Taylor collocation method and convergence analysis for the Volterra-Fredholm integral equations
- Lagrange collocation method for solving Volterra-Fredholm integral equations
- Generalized Lucas polynomial sequence treatment of fractional pantograph differential equation
- Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials
- On the Numerical Solution of Nonlinear Volterra–Fredholm Integral Equations by Collocation Methods
- Fibonacci and Lucas Numbers With Applications
This page was built for publication: Spectral solutions with error analysis of Volterra-Fredholm integral equation via generalized Lucas collocation method