High accurate convergent spectral Galerkin methods for nonlinear weakly singular Volterra integro-differential equations
DOI10.1007/s40314-021-01469-8zbMath1476.33008OpenAlexW3155645933WikidataQ115373643 ScholiaQ115373643MaRDI QIDQ2244025
Yin Yang, Emran Tohidi, Guoting Deng
Publication date: 11 November 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01469-8
convergence analysisVolterra integro-differential equationsweakly singularspectral Galerkin technique
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Stability and convergence of numerical methods for ordinary differential equations (65L20) Acceleration of convergence in numerical analysis (65B99)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral methods for weakly singular Volterra integral equations with pantograph delays
- Extrapolation method for solving weakly singular nonlinear Volterra integral equations of the second kind
- Jacobi spectral Galerkin methods for fractional integro-differential equations
- Spectral methods for weakly singular Volterra integral equations with smooth solutions
- The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces
- A new approach to the numerical solution of weakly singular Volterra integral equations.
- An \(hp\)-version spectral collocation method for nonlinear Volterra integro-differential equation with weakly singular kernels
- Convergence analysis of the Jacobi-collocation method for nonlinear weakly singular Volterra integral equations
- Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method
- New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function
- New dark-bright soliton in the shallow water wave model
- Mapped spectral collocation methods for Volterra integral equations with noncompact kernels
- Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels
- Spectral Petrov-Galerkin Methods for the Second Kind Volterra Type Integro-Differential Equations
- Spectral Methods
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- A New Bernoulli Wavelet Method for Numerical Solutions of Nonlinear Weakly Singular Volterra Integro-Differential Equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions
- Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations
- Spectral collocation methods for nonlinear weakly singular Volterra integro‐differential equations
- A Linear Generalization of Gronwall's Inequality
- Spectral Methods
- Polynomial Approximation on Compact Manifolds and Homogeneous Spaces
- Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey