A fourth-order orthogonal spline collocation solution to 1D-Helmholtz equation with discontinuity

The Journal of Analysis ◽

10.1007/s41478-018-0082-9 ◽

2018 ◽

Vol 27 (2) ◽

pp. 377-390

Author(s):

Santosh Kumar Bhal ◽

P. Danumjaya

Keyword(s):

Helmholtz Equation ◽

Fourth Order ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Collocation Solution

Download Full-text

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

Download Full-text

Orthogonal spline collocation solution of nonlinear Schrödinger equations

Mathematics of Computation 1943–1993: A Half-Century of Computational Mathematics - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/048/1314870 ◽

1994 ◽

pp. 355-360 ◽

Author(s):

Mark P. Robinson

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Spline Collocation ◽

Nonlinear Schrödinger ◽

Orthogonal Spline Collocation ◽

Nonlinear Schrodinger Equations ◽

Collocation Solution

Download Full-text

A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles

Journal of Computational Physics ◽

10.1016/s0021-9991(03)00342-5 ◽

2003 ◽

Vol 191 (2) ◽

pp. 601-621 ◽

Author(s):

Bernard Bialecki

Keyword(s):

Dirichlet Problem ◽

Spline Collocation ◽

Fast Solver ◽

Orthogonal Spline Collocation ◽

Collocation Solution ◽

Biharmonic Dirichlet Problem

Download Full-text

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 ◽

Author(s):

Xuehua Yang ◽

Haixiang Zhang ◽

Da Xu

Keyword(s):

Collocation Method ◽

Fourth Order ◽

Diffusion System ◽

Spline Collocation ◽

Spline Collocation Method ◽

Orthogonal Spline Collocation

Download Full-text

Superconvergence of the orthogonal spline collocation solution of Poisson's equation

Numerical Methods for Partial Differential Equations ◽

10.1002/(sici)1098-2426(199905)15:3<285::aid-num2>3.0.co;2-1 ◽

1999 ◽

Vol 15 (3) ◽

pp. 285-303 ◽

Author(s):

Bernard Bialecki

Keyword(s):

Poisson’S Equation ◽

Spline Collocation ◽

Poisson's Equation ◽

Orthogonal Spline Collocation ◽

Collocation Solution

Download Full-text

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

Download Full-text

Quintic B-spline collocation method for fourth order partial integro-differential equations with a weakly singular kernel

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.01.012 ◽

2013 ◽

Vol 219 (12) ◽

pp. 6565-6575 ◽

Author(s):

Haixiang Zhang ◽

Xuli Han ◽

Xuehua Yang

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Fourth Order ◽

Singular Kernel ◽

Spline Collocation ◽

Weakly Singular Kernel ◽

B Spline ◽

Spline Collocation Method ◽

Weakly Singular

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

Orthogonal spline collocation scheme for the multi-term time-fractional diffusion equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1324150 ◽

2017 ◽

Vol 95 (8) ◽

pp. 1478-1493 ◽

Author(s):

Leijie Qiao ◽

Da Xu

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Spline Collocation ◽

Orthogonal Spline Collocation ◽

Collocation Scheme ◽

Time Fractional Diffusion Equation

Download Full-text

A fourth-order-accurate Fourier method for the Helmholtz equation in three dimensions

ACM Transactions on Mathematical Software ◽

10.1145/29380.29863 ◽

1987 ◽

Vol 13 (3) ◽

pp. 221-234 ◽

Author(s):

Ronald F. Boisvert

Keyword(s):

Helmholtz Equation ◽

Fourth Order ◽

Fourier Method ◽

Three Dimensions

Download Full-text