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Applicable Analysis
An International Journal
Volume 1, 1971 - Issue 1
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Original Articles

Dirichlet, Neumann, and mixed boundary value problems for the wave equation uxx—uyy=0 for a rectangle

Ali I. Abdul-Latif The American University in Cairo, Egypt
&
J. B. Diaz Rensselaer Polytechnic Institute, Troy, New York
Pages 1-12 | Published online: 04 Mar 2011

Citations (15)

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Read on this site (3)

M. Alosaimi, D. Lesnic & B. T. Johansson. (2021) Solution of the Cauchy problem for the wave equation using iterative regularization. Inverse Problems in Science and Engineering 29:13, pages 2757-2771.
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Chein-Shan Liu. (2017) A global domain/boundary integral equation method for the inverse wave source and backward wave problems. Inverse Problems in Science and Engineering 25:4, pages 506-531.
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Craig Comstock. (1975) Singular perturbation of the wave equation. Applicable Analysis 5:2, pages 117-123.
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Articles from other publishers (12)

Chein-Shan Liu, Chih-Wen Chang, Yung-Wei Chen & Jian-Hung Shen. (2022) To Solve Forward and Backward Nonlocal Wave Problems with Pascal Bases Automatically Satisfying the Specified Conditions. Mathematics 10:17, pages 3112.
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Edwin Babu, Sumith Yesudasan & Sibi Chacko. (2020) Cymatics inspired self-cleaning mechanism for solar panels. Microsystem Technologies 27:3, pages 853-861.
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Chein-Shan Liu. (2017) The polynomial Trefftz method for solving backward and inverse source wave problems. Journal of Computational and Applied Mathematics 321, pages 211-225.
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R. Hryniv & I. Kmit. (2002) On a nonclassical problem for some quasilinear hyperbolic equation. Nonlinear Analysis: Theory, Methods & Applications 51:8, pages 1405-1419.
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D. Lesnic. (2002) The decomposition method for forward and backward time-dependent problems. Journal of Computational and Applied Mathematics 147:1, pages 27-39.
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L. L. Campbell. (2018) Existence of Solutions of an Ill-Posed Problem for the Vibrating String. Canadian Mathematical Bulletin 25:1, pages 29-36.
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B. D. Sleeman. (2011) Boundary value problems for the vibrating string equation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 88:1-2, pages 185-194.
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Ali I. Abdul-Latif. (2011) Dirichlet, Neumann and mixed Dirichlet-Neumann boundary value problems for U xy = 0 in rectangles . Proceedings of the Royal Society of Edinburgh: Section A Mathematics 82:1-2, pages 107-110.
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D.R Dunninger & Howard A Levine. (1976) Uniqueness criteria for solutions to abstract boundary value problems. Journal of Differential Equations 22:2, pages 368-378.
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D. R. Dunninger & Howard A. Levine. (1976) Uniqueness criteria for solutions of singular boundary value problems. Transactions of the American Mathematical Society 221:2, pages 289-289.
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C. C. Travis. (1976) On the uniqueness of solutions to hyperbolic boundary value problems. Transactions of the American Mathematical Society 216:0, pages 327-336.
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. 1976. Singular and Degenerate Cauchy Problems. Singular and Degenerate Cauchy Problems 275 327 .

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