A direct multi-step Legendre-Gauss collocation method for high-order Volterra integro-differential equation

Legendre spectral collocation method for neutral and high-order Volterra integro-differential equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.02.012 ◽

2014 ◽

Vol 81 ◽

pp. 15-29 ◽

Cited By ~ 32

Author(s):

Yunxia Wei ◽

Yanping Chen

Keyword(s):

Differential Equation ◽

Collocation Method ◽

High Order ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Integro Differential Equation

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High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1984435 ◽

2021 ◽

pp. 1-23

Author(s):

Leijie Qiao ◽

Bo Tang ◽

Da Xu ◽

Wenlin Qiu

Keyword(s):

Differential Equation ◽

Collocation Method ◽

High Order ◽

Two Dimensional ◽

Spline Collocation ◽

Spline Collocation Method ◽

Integro Differential Equation ◽

Orthogonal Spline Collocation ◽

Graded Meshes

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A Cubic Legendre spline collocation method to solve Volterra-Fredholm integro differential equation

2016 International Conference on Electrical, Electronics, and Optimization Techniques (ICEEOT) ◽

10.1109/iceeot.2016.7755069 ◽

2016 ◽

Author(s):

B. M. Pandya ◽

D.C. Joshi

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Spline Collocation ◽

Spline Collocation Method ◽

Integro Differential Equation

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A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation

Advances in Computational Mathematics ◽

10.1007/s10444-021-09884-5 ◽

2021 ◽

Vol 47 (5) ◽

Author(s):

Leijie Qiao ◽

Da Xu

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Two Dimensional ◽

Spline Collocation ◽

Spline Collocation Method ◽

Integro Differential Equation ◽

Orthogonal Spline Collocation ◽

Graded Meshes

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Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the Sinc-collocation method based on the double exponential transformation

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125693 ◽

2021 ◽

Vol 392 ◽

pp. 125693

Author(s):

Wenlin Qiu ◽

Da Xu ◽

Jing Guo

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Collocation Method ◽

Fourth Order ◽

Integro Differential Equation ◽

Exponential Transformation ◽

Double Exponential Transformation ◽

Double Exponential

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High order convergent modified nodal bi‐cubic spline collocation method for elliptic partial differential equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22463 ◽

2020 ◽

Vol 36 (5) ◽

pp. 1028-1043

Author(s):

Suruchi Singh ◽

Swarn Singh

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Collocation Method ◽

Elliptic Partial Differential Equation ◽

Cubic Spline ◽

High Order ◽

Spline Collocation ◽

Partial Differential ◽

Spline Collocation Method ◽

Cubic Spline Collocation

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On the Existence and Uniqueness of Solution for the Fractional Fredholm Integro-Differential Equation through the Fractional Variational Orthogonal Collocation method with Mamadu-Njoseh orthogonal basis functions

Advances In Image and Video Processing ◽

10.14738/aivp.96.11412 ◽

2021 ◽

Vol 9 (6) ◽

Author(s):

Jonathan Tsetimi

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Existence And Uniqueness ◽

Orthogonal Basis ◽

Basis Functions ◽

Uniqueness Of Solution ◽

Orthogonal Collocation ◽

Integro Differential Equation

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An hp-version Spectral Collocation Method for Nonlinear Volterra Integro-differential Equation with Weakly Singular Kernels

Journal of Scientific Computing ◽

10.1007/s10915-017-0373-3 ◽

2017 ◽

Vol 72 (2) ◽

pp. 647-678 ◽

Cited By ~ 5

Author(s):

Chuan-Li Wang ◽

Zhong-Qing Wang ◽

Hong-Li Jia

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Weakly Singular Kernels ◽

Integro Differential Equation ◽

Weakly Singular ◽

Singular Kernels

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A problem with inverse time for a singularly perturbed integro-differential equation with diagonal degeneration of the kernel of high order

Izvestiya Mathematics ◽

10.1070/im8335 ◽

2016 ◽

Vol 80 (2) ◽

pp. 285-298

Author(s):

A A Bobodzhanov ◽

V F Safonov

Keyword(s):

Differential Equation ◽

High Order ◽

Singularly Perturbed ◽

Integro Differential Equation

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Numerical solution of nonlinear fractional integro-differential equation by Collocation method

Malaya Journal of Matematik ◽

10.26637/mjm0601/0011 ◽

2018 ◽

Vol 06 (01) ◽

pp. 73-79

Author(s):

S. I. Unhale ◽

S. D. Kendre

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Collocation Method ◽

Integro Differential Equation

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