Efficient mapped Jacobi spectral method for integral equations with two-sided singularities
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Publication:6638818
DOI10.1016/j.apnum.2024.08.003MaRDI QIDQ6638818
Publication date: 14 November 2024
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Theoretical approximation of solutions to integral equations (45L05) Integral equations with kernels of Cauchy type (45E05)
Cites Work
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- Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces
- On weakly singular Fredholm integral equations with displacement kernels
- Legendre multi-Galerkin methods for Fredholm integral equations with weakly singular kernel and the corresponding eigenvalue problem
- A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation
- A fractional spectral method with applications to some singular problems
- Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
- Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method
- New spectral element method for Volterra integral equations with weakly singular kernel
- Jacobi collocation method and smoothing transformation for numerical solution of neutral nonlinear weakly singular Fredholm integro-differential equations
- Mapped spectral collocation methods for Volterra integral equations with noncompact kernels
- A Müntz-collocation spectral method for weakly singular Volterra integral equations
- Error analysis for mapped Jacobi spectral methods
- Generalized Jacobi functions and their applications to fractional differential equations
- Supergeometric Convergence of Spectral Collocation Methods for Weakly Singular Volterra and Fredholm Integral Equations with Smooth Solutions
- An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels
- Generalized Jacobi Spectral-Galerkin Method for Nonlinear Volterra Integral Equations with Weakly Singular Kernels
- Spectral Methods
- Müntz--Galerkin Methods and Applications to Mixed Dirichlet--Neumann Boundary Value Problems
- An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- Weakly Singular Discrete Gronwall Inequalities
- The Numerical Solution of Integral Equations of the Second Kind
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- A new least‐squares‐based reproducing kernel method for solving regular and weakly singular Volterra‐Fredholm integral equations with smooth and nonsmooth solutions
- Log orthogonal functions: approximation properties and applications
- Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation
- An hp-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels
- Piecewise Polynomial Collocation for Fredholm Integro-Differential Equations with Weakly Singular Kernels
- Polynomial Approximation on Compact Manifolds and Homogeneous Spaces
- The Galerkin Method for the Numerical Solution of Fredholm Integral Equations of the Second Kind
- Nonpolynomial Jacobi spectral-collocation method for weakly singular Fredholm integral equations of the second kind
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