Legendre Collocation Method for Volterra Integro-Differential Algebraic Equation
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Yunxia Wei
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Yunqing Huang
Abstract
In this work we study the numerical solution to the Volterra integro-differential algebraic equation. Two numerical examples based on the Legendre collocation scheme are designed. It follows from the convergence proof and numerical experiments that the errors of the approximate solution and the errors of the approximate derivative of the solution decay exponentially.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11671157
Award Identifier / Grant number: 91430213
Funding source: Shandong Province
Award Identifier / Grant number: ZR2017MA005
Funding statement: This work is supported by National Natural Science Foundation of China (11671157, 91430213) and Shandong Province Natural Science Foundation of China (ZR2017MA005).
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem
- A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems
- Operator Learning Approach for the Limited View Problem in Photoacoustic Tomography
- Derivative Free Regularization Method for Nonlinear Ill-Posed Equations in Hilbert Scales
- Maximal Regularity for Fractional Cauchy Equation in Hölder Space and Its Approximation
- Stabilizability of Infinite-Dimensional Systems by Finite-Dimensional Controls
- Two Implicit Meshless Finite Point Schemes for the Two-Dimensional Distributed-Order Fractional Equation
- Legendre Collocation Method for Volterra Integro-Differential Algebraic Equation
- An Optimal Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems
Artikel in diesem Heft
- Frontmatter
- Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem
- A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems
- Operator Learning Approach for the Limited View Problem in Photoacoustic Tomography
- Derivative Free Regularization Method for Nonlinear Ill-Posed Equations in Hilbert Scales
- Maximal Regularity for Fractional Cauchy Equation in Hölder Space and Its Approximation
- Stabilizability of Infinite-Dimensional Systems by Finite-Dimensional Controls
- Two Implicit Meshless Finite Point Schemes for the Two-Dimensional Distributed-Order Fractional Equation
- Legendre Collocation Method for Volterra Integro-Differential Algebraic Equation
- An Optimal Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems
