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Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-017-0563-5
Abstract: In this paper, Legendre spectral projection methods are applied for the Volterra integral equations of second kind with a smooth kernel. We prove that the approximate solutions of the Legendre Galerkin and Legendre collocation methods…
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Keywords:
order;
spectral projection;
order mathcal;
legendre spectral ... See more keywords
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Published in 2018 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-018-0580-0
Abstract: In this paper, we consider the Legendre Galerkin and Legendre collocation methods for solving the Fredholm–Hammerstein integral equation with weakly singular kernels. We evaluate the convergence rates for both the methods in both $$L^2$$L2 and…
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Keywords:
spectral projection;
legendre galerkin;
legendre spectral;
iterated legendre ... See more keywords
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Published in 2020 at "Advances in Mechanical Engineering"
DOI: 10.1177/1687814020922113
Abstract: The numerical techniques are regarded as the backbone of modern research. In literature, the exact solution of time delay differential models are hardly achievable or impossible. Therefore, numerical techniques are the only way to find…
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Keywords:
system;
legendre spectral;
method;
time delay ... See more keywords
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Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-2059-7
Abstract: In this paper, we study the Legendre spectral element method for solving the sine-Gordon equation in one dimension. Firstly, we discretize the equation by Legendre spectral element in space and then discretize the time by…
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Keywords:
legendre spectral;
spectral element;
method;
equation ... See more keywords