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International Journal of Structural Stability and Dynamics, 2023
Liuyuchen Qiu, Hua Tang
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Liuyuchen Qiu, Hua Tang
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Improvement of a Sinc-collocation method for Fredholm integro-differential equations
AIP Conference Proceedings, 2015A Sinc-collocation method for Fredholm integro-differential equations was developed by Rashidinia–Zarebnia. Their numerical experiments show that the method converges exponentially. However, in reality, the method does not converge uniformly over the given interval [a, b].
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A Sinc-Collocation Method for Weakly Singular Volterra Integral Equations
1989Let Tα:C[0,a] →C[0,a] denote the linear Volterra operator defined by $${{\text{T}}^\alpha}{\text{f(x)= }}\int\limits_0^{\text{x}}{{{{\text{(x-t)}}}^{-\alpha}}}{\text{k(x,t) f(t)dt,0}}\leqslant{\text{x}}\leqslant{\text{a,}}$$ (1.1) where 0 < α < 1 and where k is a smooth function on the domain {(x,t): 0 ≤ t ≤ x ≤ a}.
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International Journal of Mathematics in Operational Research (IJMOR)
Uday Singh N.A.
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Uday Singh N.A.
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Lagrange and Sinc Collocation Interpolation Methods
2007Nicola Bellomo +3 more
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Communications in nonlinear science & numerical simulation
Yang Cao, Zhijun Tan
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Yang Cao, Zhijun Tan
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Journal of Computational and Applied Mathematics, 2022
W. Qiu, Da Xu, Jun Zhou, Jing Guo
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W. Qiu, Da Xu, Jun Zhou, Jing Guo
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Advances in Applied Mathematics and Mechanics, 2022
Sheng-liang Kang +4 more
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Sheng-liang Kang +4 more
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