Global (finite-difference) methods for boundary-value problems

Numerical Solution of Ordinary Differential Equations ◽

10.1007/978-94-009-3129-9_6 ◽

1987 ◽

pp. 128-178

Author(s):

L. Fox ◽

D. F. Mayers

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Difference Methods

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Stable second-order finite-difference methods for linear initial-boundary-value problems

Applied Mathematics Letters ◽

10.1016/j.aml.2005.04.003 ◽

2006 ◽

Vol 19 (2) ◽

pp. 146-154 ◽

Author(s):

K. George ◽

E.H. Twizell

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Difference Methods ◽

Initial Boundary Value

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Approximate solutions for mixed boundary value problems by finite-difference methods

Mathematics of Computation ◽

10.1090/s0025-5718-1969-0242390-x ◽

1969 ◽

Vol 23 (106) ◽

pp. 373-373 ◽

Author(s):

V. Thuraisamy

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Mixed Boundary ◽

Boundary Value ◽

Finite Difference Methods ◽

Approximate Solutions ◽

Mixed Boundary Value Problems ◽

Difference Methods

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The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems

SIAM Journal on Scientific Computing ◽

10.1137/s1064827500374169 ◽

2002 ◽

Vol 23 (5) ◽

pp. 1731-1751 ◽

Author(s):

Natasha Flyer ◽

Paul N. Swarztrauber

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Methods ◽

Initial Boundary Value

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Accuracy of solution of some boundary-value problems of elasticity theory by finite-difference methods

Journal of Soviet Mathematics ◽

10.1007/bf01100065 ◽

1992 ◽

Vol 58 (5) ◽

pp. 408-411

Author(s):

E. K. Zaitsev

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Elasticity Theory ◽

Boundary Value ◽

Finite Difference Methods ◽

Difference Methods

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Spline finite difference methods for singular two point boundary value problems

Numerische Mathematik ◽

10.1007/bf01390712 ◽

1986 ◽

Vol 50 (3) ◽

pp. 363-376 ◽

Author(s):

S. R. K. Iyengar ◽

Pragya Jain

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Point Boundary ◽

Difference Methods

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Finite-Difference Methods for Boundary-Value Problems

Applied Mathematical Sciences - Analysis of Approximation Methods for Differential and Integral Equations ◽

10.1007/978-1-4612-1080-1_1 ◽

1985 ◽

pp. 3-19

Author(s):

H.-J. Reinhardt

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Difference Methods

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On the Convergence of Finite Difference Methods for a Class of Two-Point Boundary Value Problems with Periodic Boundary Conditions

Applied Mathematics and Computation ◽

10.1016/0096-3003(95)00144-1 ◽

1996 ◽

Vol 75 (2-5) ◽

pp. 287-302

Author(s):

C KATTI ◽

S BABOO ◽

S SIVALOGANATHAN

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Boundary Value Problems ◽

Periodic Boundary ◽

Boundary Value ◽

Finite Difference Methods ◽

Periodic Boundary Conditions ◽

Point Boundary ◽

Difference Methods

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Finite difference methods for two-point boundary value problems involving high order differential equations

BIT Numerical Mathematics ◽

10.1007/bf01931218 ◽

1979 ◽

Vol 19 (1) ◽

pp. 27-33 ◽

Author(s):

M. M. Chawla ◽

C. P. Katti

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Point Boundary ◽

Difference Methods

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On the convergence of finite difference methods for weakly regular singular boundary value problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.05.012 ◽

2007 ◽

Vol 205 (1) ◽

pp. 469-478 ◽

Author(s):

R.K. Pandey ◽

Arvind K. Singh

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Singular Boundary ◽

Singular Boundary Value Problems ◽

Difference Methods

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Fast Algorithm for the Inverse Matrices of Adding Element Tridiagonal Periodic Matrices in Signal Processing

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.121-122.682 ◽

2010 ◽

Vol 121-122 ◽

pp. 682-686

Author(s):

Yan Lei Zhao ◽

Xue Ting Liu

Keyword(s):

Signal Processing ◽

Finite Difference ◽

Boundary Value Problems ◽

Difference Equations ◽

Fast Algorithm ◽

Boundary Value ◽

Finite Difference Methods ◽

Practical Applications ◽

Tridiagonal Matrices ◽

Difference Methods

Adding element tridiagonal matrices play a very important role in the theory and practical applications, such as the boundary value problems by finite difference methods, interpolation by cubic splines, three-term difference equations and so on. In this paper, we give a fast algorithm for the Inverse Matrices of periodic adding element tridiagonal matrices.

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