Orthogonal spline collocation methods for the subdiffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.05.022 ◽

2014 ◽

Vol 255 ◽

pp. 517-528 ◽

Author(s):

Can Li ◽

Tinggang Zhao ◽

Weihua Deng ◽

Yujiang Wu

Keyword(s):

Collocation Methods ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Subdiffusion Equation

Download Full-text

Orthogonal spline collocation methods for partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00509-4 ◽

2001 ◽

Vol 128 (1-2) ◽

pp. 55-82 ◽

Author(s):

B. Bialecki ◽

G. Fairweather

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential ◽

Orthogonal Spline Collocation

Download Full-text

Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900348729 ◽

2002 ◽

Vol 39 (6) ◽

pp. 2045-2065 ◽

Author(s):

Bingkun Li ◽

Graeme Fairweather ◽

Bernard Bialecki

Keyword(s):

Discrete Time ◽

Collocation Methods ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Vibration Problems

Download Full-text

Unconditional convergence of linearized orthogonal spline collocation algorithm for semilinear subdiffusion equation with nonsmooth solution

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22583 ◽

2020 ◽

Author(s):

Haixiang Zhang ◽

Xuehua Yang ◽

Da Xu

Keyword(s):

Unconditional Convergence ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Subdiffusion Equation

Download Full-text

Orthogonal spline collocation methods for the stream function-vorticity formulation of the Navier–Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20269 ◽

2008 ◽

Vol 24 (2) ◽

pp. 449-464 ◽

Author(s):

Graeme Fairweather ◽

Heping Ma ◽

Weiwei Sun

Keyword(s):

Stream Function ◽

Stokes Equations ◽

Collocation Methods ◽

Navier Stokes ◽

Spline Collocation ◽

Navier Stokes Equations ◽

Orthogonal Spline Collocation

Download Full-text

Discrete-time Orthogonal Spline Collocation Methods for Schrödinger Equations in Two Space Variables

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142996302396 ◽

1998 ◽

Vol 35 (2) ◽

pp. 453-477 ◽

Author(s):

Bingkun Li ◽

Graeme Fairweather ◽

Bernard Bialecki

Keyword(s):

Discrete Time ◽

Collocation Methods ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Spline Collocation ◽

Orthogonal Spline Collocation

Download Full-text

Orthogonal spline collocation methods for partial differential equations

Partial Differential Equations ◽

10.1016/b978-0-444-50616-0.50005-1 ◽

2001 ◽

pp. 55-82 ◽

Author(s):

B. Bialecki ◽

G. Fairweather

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Methods ◽

Spline Collocation ◽

Partial Differential ◽

Orthogonal Spline Collocation

Download Full-text

A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction–subdiffusion equation

Advances in Difference Equations ◽

10.1186/s13662-019-2022-7 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Xiaoyong Xu ◽

Da Xu

Keyword(s):

Numerical Scheme ◽

Two Dimensional ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Subdiffusion Equation ◽

Fractional Reaction

Download Full-text

High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.03.001 ◽

2020 ◽

Vol 174 ◽

pp. 102-122

Author(s):

Santosh Kumar Bhal ◽

P. Danumjaya ◽

G. Fairweather

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Collocation Methods ◽

Point Boundary ◽

Spline Collocation ◽

Orthogonal Spline Collocation

Download Full-text

High‐order discrete‐time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction–diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22438 ◽

2019 ◽

Vol 36 (3) ◽

pp. 495-523

Author(s):

Pankaj Mishra ◽

Kapil K. Sharma ◽

Amiya K. Pani ◽

Graeme Fairweather

Keyword(s):

Discrete Time ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Collocation Methods ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Diffusion Problems

Download Full-text

Split-step orthogonal spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.07.002 ◽

2011 ◽

Vol 218 (5) ◽

pp. 1903-1916 ◽

Author(s):

Shanshan Wang ◽

Luming Zhang

Keyword(s):

Nonlinear Schrödinger Equations ◽

Three Dimensions ◽

Collocation Methods ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Spline Collocation ◽

Nonlinear Schrödinger ◽

Orthogonal Spline Collocation ◽

Nonlinear Schrodinger Equations

Download Full-text