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 ◽

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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A block monotone iterative method for numerical solutions of nonlinear elliptic boundary value problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20546 ◽

2009 ◽

Vol 27 (3) ◽

pp. 680-701 ◽

Author(s):

Yuan-Ming Wang ◽

Cui-Xia Liang ◽

Ravi P. Agarwal

Keyword(s):

Iterative Method ◽

Boundary Value Problems ◽

Numerical Solutions ◽

Elliptic Boundary ◽

Elliptic Boundary Value Problems ◽

Monotone Iterative Method ◽

Elliptic Boundary Value ◽

Monotone Iterative ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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Block Monotone Iterations for Numerical Solutions of Fourth-Order Nonlinear Elliptic Boundary Value Problems

SIAM Journal on Scientific Computing ◽

10.1137/s1064827502409912 ◽

2003 ◽

Vol 25 (1) ◽

pp. 164-185 ◽

Author(s):

C. V. Pao ◽

Xin Lu

Keyword(s):

Boundary Value Problems ◽

Fourth Order ◽

Numerical Solutions ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Monotone Iterations ◽

Nonlinear Elliptic Boundary

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A unified monotone iterative technique for semilinear elliptic boundary value problems

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00809-4 ◽

2002 ◽

Vol 51 (4) ◽

pp. 567-586 ◽

Author(s):

S. Köksal ◽

V. Lakshmikantham

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Monotone Iterative Technique ◽

Elliptic Boundary Value Problems ◽

Iterative Technique ◽

Elliptic Boundary Value ◽

Monotone Iterative ◽

Semilinear Elliptic

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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 ◽

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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Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(03)90189-1 ◽

2003 ◽

Vol 46 (10-11) ◽

pp. 1535-1544 ◽

Author(s):

C.V. Pao

Keyword(s):

Boundary Value Problems ◽

Numerical Solutions ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Monotone Iterations ◽

Nonlinear Elliptic Boundary

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Numerical methods for fourth-order nonlinear elliptic boundary value problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1016 ◽

2001 ◽

Vol 17 (4) ◽

pp. 347-368 ◽

Author(s):

C. V. Pao

Keyword(s):

Numerical Methods ◽

Boundary Value Problems ◽

Fourth Order ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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Existence of coupled quasi-solutions of systems of nonlinear elliptic boundary value problems

Nonlinear Analysis ◽

10.1016/0362-546x(84)90090-7 ◽

1984 ◽

Vol 8 (5) ◽

pp. 501-515 ◽

Author(s):

G.S. Ladde ◽

V. Lakshmikantham ◽

A.S. Vatsala

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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The index bundle and bifurcation from infinity of solutions of nonlinear elliptic boundary value problems

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-015-0237-0 ◽

2015 ◽

Vol 17 (1) ◽

pp. 43-64 ◽

Author(s):

J. Pejsachowicz

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Bifurcation From Infinity ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary ◽

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SOLVABILITY OF NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS USING A PRIORI ESTIMATES

Differential Equations ◽

10.1016/b978-0-12-045550-8.50025-6 ◽

1980 ◽

pp. 235-247

Author(s):

R. Kent Nagle ◽

Karen Singkofer

Keyword(s):

Boundary Value Problems ◽

A Priori Estimates ◽

Elliptic Boundary ◽

Boundary Value ◽

A Priori ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Priori Estimates ◽

Nonlinear Elliptic Boundary

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Positivity of global branches of fully nonlinear elliptic boundary value problems

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1992-1091182-5 ◽

1992 ◽

Vol 115 (4) ◽

pp. 1031-1031 ◽

Author(s):

Timothy J. Healey ◽

Hansjörg Kielhöfer

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Fully Nonlinear ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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