A fourth–order orthogonal spline collocation method for two‐dimensional Helmholtz problems with interfaces

Santosh Kumar Bhal; Palla Danumjaya; Graeme Fairweather

doi:10.1002/num.22505

A fourth–order orthogonal spline collocation method for two‐dimensional Helmholtz problems with interfaces

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22505 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1811-1829

Author(s):

Santosh Kumar Bhal ◽

Palla Danumjaya ◽

Graeme Fairweather

Keyword(s):

Collocation Method ◽

Fourth Order ◽

Two Dimensional ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation

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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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A fourth-order orthogonal spline collocation method to fourth-order boundary value problems

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2019.1600070 ◽

2019 ◽

Vol 20 (5) ◽

pp. 460-470

Author(s):

Bhal Santosh Kumar ◽

P. Danumjaya ◽

Anil Kumar

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Fourth Order ◽

Boundary Value ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation

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Orthogonal spline collocation method for the fourth-order diffusion system

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.01.039 ◽

2018 ◽

Vol 75 (9) ◽

pp. 3172-3185 ◽

Cited By ~ 4

Author(s):

Xuehua Yang ◽

Haixiang Zhang ◽

Da Xu

Keyword(s):

Collocation Method ◽

Fourth Order ◽

Diffusion System ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation

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An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.01.003 ◽

2020 ◽

Vol 151 ◽

pp. 199-212 ◽

Cited By ~ 6

Author(s):

Leijie Qiao ◽

Zhibo Wang ◽

Da Xu

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Two Dimensional ◽

Spline Collocation ◽

Alternating Direction Implicit ◽

Spline Collocation Method ◽

Integro Differential Equation ◽

Orthogonal Spline Collocation ◽

Alternating Direction

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The BDF orthogonal spline collocation method for the two-dimensional evolution equation with memory

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1347259 ◽

2017 ◽

Vol 95 (10) ◽

pp. 2011-2025 ◽

Cited By ~ 4

Author(s):

Haixiang Zhang ◽

Xuehua Yang

Keyword(s):

Evolution Equation ◽

Collocation Method ◽

Two Dimensional ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation ◽

With Memory

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Orthogonal spline collocation method for the two-dimensional fractional sub-diffusion equation

Journal of Computational Physics ◽

10.1016/j.jcp.2013.09.016 ◽

2014 ◽

Vol 256 ◽

pp. 824-837 ◽

Cited By ~ 43

Author(s):

Xuehua Yang ◽

Haixiang Zhang ◽

Da Xu

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Two Dimensional ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation

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Discrete-time orthogonal spline collocation method with application to two-dimensional fractional cable equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.10.019 ◽

2014 ◽

Vol 68 (12) ◽

pp. 1710-1722 ◽

Cited By ~ 18

Author(s):

Haixiang Zhang ◽

Xuehua Yang ◽

Xuli Han

Keyword(s):

Collocation Method ◽

Discrete Time ◽

Cable Equation ◽

Two Dimensional ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation ◽

Fractional Cable 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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Orthogonal spline collocation method for the two-dimensional time fractional mobile-immobile equation

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01661-3 ◽

2021 ◽

Author(s):

Leijie Qiao ◽

Da Xu ◽

Zhibo Wang

Keyword(s):

Collocation Method ◽

Two Dimensional ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation

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An ADI Crank–Nicolson Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation

Journal of Scientific Computing ◽

10.1007/s10915-015-0003-x ◽

2015 ◽

Vol 65 (3) ◽

pp. 1217-1239 ◽

Cited By ~ 28

Author(s):

Graeme Fairweather ◽

Xuehua Yang ◽

Da Xu ◽

Haixiang Zhang

Keyword(s):

Wave Equation ◽

Collocation Method ◽

Fractional Diffusion ◽

Two Dimensional ◽

Spline Collocation ◽

Diffusion Wave ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation ◽

Crank Nicolson

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