New results on the approximation of solutions to partial differential equations: The method of particular solutions

Analytic Theory of Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0060421 ◽

1971 ◽

pp. 207-212 ◽

Author(s):

David Colton ◽

Robert P. Gilbert

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Particular Solutions ◽

Method Of Particular Solutions

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Localized method of particular solutions using polynomial basis functions for solving two-dimensional nonlinear partial differential equations

Partial Differential Equations in Applied Mathematics ◽

10.1016/j.padiff.2021.100114 ◽

2021 ◽

Vol 4 ◽

pp. 100114

Author(s):

T. Dangal ◽

B. Khatri Ghimire ◽

A.R. Lamichhane

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Nonlinear Partial Differential Equations ◽

Basis Functions ◽

Polynomial Basis ◽

Two Dimensional ◽

Partial Differential ◽

Particular Solutions ◽

Method Of Particular Solutions

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Particular solutions of singularly perturbed partial differential equations with constant coefficients in rectangular domains, Part I. Convergence analysis

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2003.09.029 ◽

2004 ◽

Vol 166 (1) ◽

pp. 181-208 ◽

Author(s):

Zi-Cai Li ◽

Hsin-Yun Hu ◽

Chung-Hua Hsu ◽

Song Wang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Convergence Analysis ◽

Singularly Perturbed ◽

Partial Differential ◽

Particular Solutions ◽

Constant Coefficients

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On the construction of particular solutions to (1+1)-dimensional partial differential equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/35/7/322 ◽

2002 ◽

Vol 35 (7) ◽

pp. 1791-1803 ◽

Author(s):

Alexandre I Zenchuk

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Particular Solutions

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Symmetric method of approximate particular solutions for solving certain partial differential equations

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2020.07.009 ◽

2020 ◽

Vol 119 ◽

pp. 105-118

Author(s):

Jen-Yi Chang ◽

Ru-Yun Chen ◽

Chia-Cheng Tsai

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Particular Solutions ◽

Symmetric Method

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The method of approximate particular solutions for solving certain partial differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20631 ◽

2010 ◽

Vol 28 (2) ◽

pp. 506-522 ◽

Author(s):

C.S. Chen ◽

C.M. Fan ◽

P.H. Wen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Particular Solutions

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The annihilator method for computing particular solutions to partial differential equations

Engineering Analysis with Boundary Elements ◽

10.1016/s0955-7997(98)00081-2 ◽

1999 ◽

Vol 23 (3) ◽

pp. 275-279 ◽

Author(s):

M.A. Golberg ◽

C.S. Chen ◽

Y.F. Rashed

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Particular Solutions

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Partial differential equations: general and particular solutions

Mathematical Methods for Physics and Engineering ◽

10.1017/cbo9780511810763.023 ◽

2012 ◽

pp. 675-712 ◽

Author(s):

K. F. Riley ◽

M. P. Hobson ◽

S. J. Bence

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Particular Solutions

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Recursive construction of particular solutions to nonhomogeneous linear partial differential equations of elliptic type

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(92)90132-h ◽

1992 ◽

Vol 39 (2) ◽

pp. 227-242 ◽

Author(s):

Hugo L. Janssen ◽

Hendrik L. Lambert

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Type ◽

Recursive Construction ◽

Partial Differential ◽

Particular Solutions ◽

Linear Partial Differential Equations

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A recursive construction of particular solutions to a system of coupled linear partial differential equations with polynomial source term

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(95)00038-0 ◽

1996 ◽

Vol 69 (2) ◽

pp. 319-329 ◽

Author(s):

Lieven Matthys ◽

Hendrik Lambert ◽

Gilbert De Mey

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Source Term ◽

Recursive Construction ◽

Partial Differential ◽

Particular Solutions ◽

Linear Partial Differential Equations

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Families of particular solutions to multidimensional partial differential equations

Journal of Mathematical Physics ◽

10.1063/1.1398337 ◽

2001 ◽

Vol 42 (11) ◽

pp. 5472-5492 ◽

Author(s):

A. I. Zenchuk

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Particular Solutions

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