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An $hp$-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels
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This paper presents an $hp$-version Chebyshev spectral collocation method for
nonlinear Volterra integro-differential equations with weakly singular kernels. The $hp$-version error bound of the collocation method under the $H$1-norm is established on an
arbitrary mesh. Numerical experiments demonstrate the effectiveness of the proposed
method.
Title: An $hp$-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels
Description:
This paper presents an $hp$-version Chebyshev spectral collocation method for
nonlinear Volterra integro-differential equations with weakly singular kernels.
The $hp$-version error bound of the collocation method under the $H$1-norm is established on an
arbitrary mesh.
Numerical experiments demonstrate the effectiveness of the proposed
method.
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