Solving Galerkin Approximations to Nonlinear Two-Point Boundary Value Problems by a Globally Convergent Homotopy Method

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0908066 ◽

1987 ◽

Vol 8 (5) ◽

pp. 768-789 ◽

Author(s):

Layne T. Watson ◽

L. Ridgway Scott

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Homotopy Method ◽

Point Boundary ◽

Globally Convergent ◽

Galerkin Approximations

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An Optimal $L_\infty $ Error Estimate for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0710077 ◽

1973 ◽

Vol 10 (5) ◽

pp. 914-917 ◽

Author(s):

Mary Fanett Wheeler

Keyword(s):

Error Estimate ◽

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Galerkin Approximations

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Optimal $L\sb{\infty }$ error estimates for Galerkin approximations to solutions of two-point boundary value problems

Mathematics of Computation ◽

10.1090/s0025-5718-1975-0371077-0 ◽

1975 ◽

Vol 29 (130) ◽

pp. 475-475

Author(s):

Jim Douglas ◽

Todd Dupont ◽

Lars Wahlbin

Keyword(s):

Boundary Value Problems ◽

Error Estimates ◽

Boundary Value ◽

Point Boundary ◽

Galerkin Approximations

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Optimal L ∞ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems

Mathematics of Computation ◽

10.2307/2005565 ◽

1975 ◽

Vol 29 (130) ◽

pp. 475 ◽

Author(s):

Jim Douglas ◽

Todd Dupont ◽

Lars Wahlbin

Keyword(s):

Boundary Value Problems ◽

Error Estimates ◽

Boundary Value ◽

Point Boundary ◽

Galerkin Approximations

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Simplicial homotopy method for the solution of nonlinear two-point boundary value problems

Electronics and Communications in Japan (Part I Communications) ◽

10.1002/ecja.4410681105 ◽

1985 ◽

Vol 68 (11) ◽

pp. 40-48

Author(s):

Kiyotaka Yamamura ◽

Shin'Ichi Oishi ◽

Kazuo Horiuchi

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Homotopy Method ◽

Point Boundary ◽

Simplicial Homotopy

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Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method

Applied Mathematics and Computation ◽

10.1016/0096-3003(87)90015-4 ◽

1987 ◽

Vol 24 (4) ◽

pp. 333-357 ◽

Author(s):

Layne M. Watson ◽

Melvin R. Scott

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Homotopy Method ◽

Point Boundary ◽

Spline Collocation

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An Algorithm That is Globally Convergent with Probability One for a Class of Nonlinear Two-Point Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0716033 ◽

1979 ◽

Vol 16 (3) ◽

pp. 394-401 ◽

Author(s):

Layne T. Watson

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Globally Convergent

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Solving Finite Difference Approximations to Nonlinear Two-Point Boundary Value Problems by a Homotopy Method

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0901034 ◽

1980 ◽

Vol 1 (4) ◽

pp. 467-480 ◽

Author(s):

Layne T. Watson

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Homotopy Method ◽

Point Boundary ◽

Finite Difference Approximations ◽

Difference Approximations

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Harmonic numbers operational matrix for solving fifth-order two point boundary value problems

Tbilisi Mathematical Journal ◽

10.32513/tbilisi/1529460019 ◽

2018 ◽

Vol 11 (2) ◽

pp. 17-33

Author(s):

Y. H. Youssri ◽

W. M. Abd-Elhameed

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Operational Matrix ◽

Point Boundary ◽

Harmonic Numbers ◽

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Positive Solutions of Singular Superlinear (k,n-k) Multi-Point Boundary Value Problems

Acta Analysis Functionalis Applicata ◽

10.3724/sp.j.1160.2010.00017 ◽

2010 ◽

Vol 12 (1) ◽

pp. 17-20

Author(s):

Yujun CUI ◽

Xingdong TANG ◽

Feng WANG

Keyword(s):

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

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SOLUTION OF NONLINEAR SECOND ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS BY SHOOTING TYPE DIFFERENTIAL TRANSFORM ALGORITHM

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.6.97 ◽

2020 ◽

Vol 9 (6) ◽

pp. 4155-4164

Author(s):

S. George ◽

T. R. Sivakumar ◽

D. S. Dilip

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Point Boundary ◽

Differential Transform

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