High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation

Mehdi Dehghan; Akbar Mohebbi

doi:10.1002/num.20341

High order implicit collocation method for the solution of two-dimensional linear hyperbolic equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20341 ◽

2009 ◽

Vol 25 (1) ◽

pp. 232-243 ◽

Cited By ~ 65

Author(s):

Mehdi Dehghan ◽

Akbar Mohebbi

Keyword(s):

Hyperbolic Equation ◽

Collocation Method ◽

High Order ◽

Two Dimensional ◽

Linear Hyperbolic Equation

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A Taylor matrix method for the solution of a two-dimensional linear hyperbolic equation

Applied Mathematics Letters ◽

10.1016/j.aml.2011.04.026 ◽

2011 ◽

Vol 24 (10) ◽

pp. 1716-1720 ◽

Cited By ~ 24

Author(s):

Berna Bülbül ◽

Mehmet Sezer

Keyword(s):

Hyperbolic Equation ◽

Matrix Method ◽

Two Dimensional ◽

Linear Hyperbolic Equation

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Element-free Galerkin (EFG) method for a kind of two-dimensional linear hyperbolic equation

Chinese Physics B ◽

10.1088/1674-1056/18/10/001 ◽

2009 ◽

Vol 18 (10) ◽

pp. 4059-4064 ◽

Cited By ~ 16

Author(s):

Cheng Rong-Jun ◽

Ge Hong-Xia

Keyword(s):

Hyperbolic Equation ◽

Two Dimensional ◽

Linear Hyperbolic Equation ◽

Element Free Galerkin ◽

Element Free

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Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2012.713475 ◽

2013 ◽

Vol 90 (2) ◽

pp. 273-291 ◽

Cited By ~ 11

Author(s):

Dingwen Deng ◽

Chengjian Zhang

Keyword(s):

Hyperbolic Equation ◽

Fourth Order ◽

Two Dimensional ◽

Linear Hyperbolic Equation ◽

Adi Method

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High order compact solution of the one-space-dimensional linear hyperbolic equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20313 ◽

2008 ◽

Vol 24 (5) ◽

pp. 1222-1235 ◽

Cited By ~ 61

Author(s):

Akbar Mohebbi ◽

Mehdi Dehghan

Keyword(s):

Hyperbolic Equation ◽

High Order ◽

Linear Hyperbolic Equation ◽

The One

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High order variable mesh off-step discretization for the solution of 1-D non-linear hyperbolic equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.12.144 ◽

2014 ◽

Vol 230 ◽

pp. 629-638

Author(s):

Swarn Singh ◽

Ping Lin

Keyword(s):

Hyperbolic Equation ◽

High Order ◽

Linear Hyperbolic Equation ◽

Variable Mesh ◽

Non Linear ◽

Order Variable

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Convergence of a Finite Volume Extension of the Nessyahu--Tadmor Scheme on Unstructured Grids for a Two-Dimensional Linear Hyperbolic Equation

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142994278899 ◽

1999 ◽

Vol 36 (3) ◽

pp. 738-771 ◽

Cited By ~ 31

Author(s):

Paul Arminjon ◽

Marie-Claude Viallon

Keyword(s):

Hyperbolic Equation ◽

Finite Volume ◽

Unstructured Grids ◽

Two Dimensional ◽

Linear Hyperbolic Equation

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Numerical solution of second-order two-dimensional hyperbolic equation by bi-cubic B-spline collocation method

Mathematical Sciences ◽

10.1007/s40096-020-00331-y ◽

2020 ◽

Vol 14 (3) ◽

pp. 201-213

Author(s):

Rajni Arora ◽

Swarn Singh ◽

Suruchi Singh

Keyword(s):

Numerical Solution ◽

Hyperbolic Equation ◽

Collocation Method ◽

Second Order ◽

Two Dimensional ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method

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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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Superconvergence Analysis of the Runge-Kutta Discontinuous Galerkin Method with Upwind-Biased Numerical Flux for Two-Dimensional Linear Hyperbolic Equation

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00116-z ◽

2021 ◽

Author(s):

Yuan Xu ◽

Qiang Zhang

Keyword(s):

Galerkin Method ◽

Hyperbolic Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensional ◽

Linear Hyperbolic Equation ◽

Numerical Flux ◽

Runge Kutta

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A PROBLEM OF RECOVERING A SPECIAL TWO-DIMENSIONAL POTENTIAL IN A HYPERBOLIC EQUATION

Eurasian Journal of Mathematical and Computer Applications ◽

10.32523/2306-6172-2016-4-1-32-46 ◽

2016 ◽

Vol 4 (1) ◽

pp. 32-46

Author(s):

V.G. Romanov

Keyword(s):

Hyperbolic Equation ◽

Two Dimensional

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