partial differential equations
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11—20 of 64 matching pages
11: 22.19 Physical Applications
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§22.19(iii) Nonlinear ODEs and PDEs
►Many nonlinear ordinary and partial differential equations have solutions that may be expressed in terms of Jacobian elliptic functions. …12: 20.13 Physical Applications
13: 16.13 Appell Functions
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►The following four functions of two real or complex variables and cannot be expressed as a product of two functions, in general, but they satisfy partial differential equations that resemble the hypergeometric differential equation (15.10.1):
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14: Bibliography T
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Eigenfunction Expansions Associated with Second Order Differential Equations, Part 2, Partial Differential Equations.
Clarendon Press, Oxford.
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15: 3.11 Approximation Techniques
16: 31.10 Integral Equations and Representations
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►and the kernel is a solution of the partial differential equation
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31.10.8
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►and the kernel is a solution of the partial differential equation
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31.10.18
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17: 18.38 Mathematical Applications
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►This process has been generalized to spectral methods for solving partial differential equations.
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18: Bibliography S
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Time propagation of partial differential equations using the short iterative Lanczos method and finite-element discrete variable representation.
Adv. Quantum Chem. 72, pp. 95–127.
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19: 32.4 Isomonodromy Problems
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►Then the equation
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