Fourth-Order Compact Finite Difference Methods and Monotone Iterative Algorithms for Quasi-Linear Elliptic Boundary Value Problems

Yuan-Ming Wang

doi:10.1137/130950306

Fourth-Order Compact Finite Difference Methods and Monotone Iterative Algorithms for Quasi-Linear Elliptic Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/130950306 ◽

2015 ◽

Vol 53 (2) ◽

pp. 1032-1057

Author(s):

Yuan-Ming Wang

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Fourth Order ◽

Elliptic Boundary ◽

Finite Difference Methods ◽

Iterative Algorithms ◽

Elliptic Boundary Value ◽

Monotone Iterative ◽

Difference Methods ◽

Linear Elliptic Boundary

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Fourth-order compact finite difference methods and monotone iterative algorithms for semilinear elliptic boundary value problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.10.021 ◽

2014 ◽

Vol 68 (12) ◽

pp. 1671-1688 ◽

Cited By ~ 5

Author(s):

Yuan-Ming Wang ◽

Ben-Yu Guo ◽

Wen-Jia Wu

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Fourth Order ◽

Elliptic Boundary ◽

Finite Difference Methods ◽

Iterative Algorithms ◽

Elliptic Boundary Value ◽

Monotone Iterative ◽

Semilinear Elliptic ◽

Difference Methods

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On the implementation of iterated defect correction to finite difference methods for elliptic boundary-value problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620211204 ◽

1985 ◽

Vol 21 (12) ◽

pp. 2157-2168

Author(s):

JÖRg Hertling

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Finite Difference Methods ◽

Elliptic Boundary Value Problems ◽

Defect Correction ◽

Elliptic Boundary Value ◽

Difference Methods ◽

Iterated Defect Correction

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A new fourth order discretization for singularly perturbed two dimensional non-linear elliptic boundary value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.08.023 ◽

2006 ◽

Vol 175 (2) ◽

pp. 1400-1414 ◽

Cited By ~ 25

Author(s):

R.K. Mohanty ◽

Swarn Singh

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Singularly Perturbed ◽

Two Dimensional ◽

Elliptic Boundary Value ◽

Non Linear ◽

Linear Elliptic Boundary

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Monotone iterative technique for numerical solutions of fourth-order nonlinear elliptic boundary value problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2006.10.001 ◽

2007 ◽

Vol 57 (10) ◽

pp. 1081-1096 ◽

Cited By ~ 12

Author(s):

Yuan-Ming Wang

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Numerical Solutions ◽

Elliptic Boundary ◽

Monotone Iterative Technique ◽

Iterative Technique ◽

Elliptic Boundary Value ◽

Monotone Iterative ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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On the Convergence of Non-Polynomial Spline Finite Difference Method for Quasi-Linear Elliptic Boundary Value Problems in Two-Space Dimensions

Journal of Advances in Applied Mathematics ◽

10.22606/jaam.2016.11006 ◽

2016 ◽

Vol 1 (1) ◽

Cited By ~ 1

Author(s):

Navnit Jha ◽

◽

Ravindra Kumar ◽

R. K. Mohanty ◽

◽

...

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Elliptic Boundary ◽

Polynomial Spline ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Two Space Dimensions ◽

Linear Elliptic Boundary

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Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.10.007 ◽

2008 ◽

Vol 221 (1) ◽

pp. 76-97 ◽

Cited By ~ 11

Author(s):

Yuan-Ming Wang ◽

Ben-Yu Guo

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Fourth Order ◽

Difference Method ◽

Elliptic Boundary ◽

Elliptic Boundary Value ◽

Compact Finite Difference Method ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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Fourth-order exponential finite difference methods for boundary value problems of convective diffusion type

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.167 ◽

2001 ◽

Vol 37 (1) ◽

pp. 87-106 ◽

Cited By ~ 30

Author(s):

A. C. Radhakrishna Pillai

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Fourth Order ◽

Convective Diffusion ◽

Boundary Value ◽

Finite Difference Methods ◽

Diffusion Type ◽

Difference Methods

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Fourth-order Finite-difference Methods for Two-point Boundary-value Problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/4.1.69 ◽

1984 ◽

Vol 4 (1) ◽

pp. 69-82 ◽

Cited By ~ 8

Author(s):

E. A. BOGUCZ ◽

J. D. A. WALKER

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Finite Difference Methods ◽

Point Boundary ◽

Difference Methods

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A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110762 ◽

2021 ◽

pp. 110762

Author(s):

Yiming Ren ◽

Hongsong Feng ◽

Shan Zhao

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Value Problems ◽

Difference Method ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Irregular Domains ◽

Elliptic Boundary Value ◽

High Order Finite Difference

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Control of error in the homotopy analysis of semi-linear elliptic boundary value problems

Numerical Algorithms ◽

10.1007/s11075-012-9554-1 ◽

2012 ◽

Vol 61 (4) ◽

pp. 613-629 ◽

Cited By ~ 29

Author(s):

Robert A. Van Gorder

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Homotopy Analysis ◽

Control Of Error ◽

Linear Elliptic Boundary

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