Jacobi spectral solution for weakly singular integral algebraic equations of index 1
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Publication:738442
DOI10.1186/1687-1847-2014-165zbMath1343.65150OpenAlexW2106665089WikidataQ59323727 ScholiaQ59323727MaRDI QIDQ738442
Publication date: 2 September 2016
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2014-165
error analysisintegral algebraic equationsJacobi collocation methodindex of IAEssystem of weakly singular Volterra equations
Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Volterra integral equations (45D05)
Related Items
Retraction note: Jacobi spectral solution for weakly singular integral algebraic equations of index-1, Numerical solution of initial-boundary system of nonlinear hyperbolic equations, On sinc discretization for systems of Volterra integral-algebraic equations, Legendre collocation method for Volterra integro-differential algebraic equation
Cites Work
- Jacobi spectral solution for integral algebraic equations of index-2
- Two-dimensional integral-algebraic systems: analysis and computational methods
- Spectral methods for weakly singular Volterra integral equations with smooth solutions
- A Dirichlet problem for the biharmonic equation in a semi-infinite strip
- Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind
- Determination of the heat transfer coefficient during solidification of alloys
- Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\)
- The semi-explicit Volterra integral algebraic equations with weakly singular kernels: The numerical treatments
- Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations
- A posteriori error estimation for the Legendre collocation method applied to integral-algebraic Volterra equations
- Differential Algebraic Equations, Indices, and Integral Algebraic Equations
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- Theoretical Numerical Analysis
- Collocation methods for second-kind Volterra integral equations with weakly singular kernels
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Spectral Methods
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