Results 11 to 20 of about 456,102 (333)
Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization. [PDF]
PLoS ONEBy using the power-exponential function method and the extended hyperbolic auxiliary equation method, we present the explicit solutions of the subsidiary elliptic-like equation.
Bacui Li, Fuzhang Wang, Sohail Nadeem
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Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Purpose MRI is increasingly used for brain and head and neck radiotherapy treatment planning due to its superior soft tissue contrast. Flexible array coils can be arranged to encompass treatment immobilization devices, which do not fit in diagnostic head/neck coils. Selecting a flexible coil arrangement to replace a diagnostic coil should rely
Evangelia Kaza +6 more
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Mathematics in Engineering, 2023 We discuss the design and implementation details of two conforming virtual element methods for the numerical approximation of two partial differential equations that emerge in phase-field modeling of fracture propagation in elastic material.
Yu Leng +6 more
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Hopscotch methods for elliptic partial differential equations
Journal of Computational and Applied Mathematics, 1979 AbstractThis paper analyses hopscotch algorithms when used to solve elliptic partial differential equations. A comparison with standard methods is made for the model problem.
Sean McKee, A.R. Gourlay
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Fredholmness of an abstract differential equation of elliptic type
Electronic Journal of Qualitative Theory of Differential Equations, 2004 In this work, we obtain algebraic conditions which assure the Fredholm solvability of an abstract differential equation of elliptic type. In this respect, our work can be considered as an extension of Yakubov's results to the case of boundary conditions ...
A. Aibeche
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Diffusion Coefficients Estimation for Elliptic Partial Differential Equations [PDF]
SIAM Journal on Mathematical Analysis, 2017 25 ...
Bonito, Andrea +4 more
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Al-Mustansiriyah Journal of Science, 2019 This paper is concerned with, the proof of the existence and the uniqueness theorem for the solution of the state vector of a couple of nonlinear elliptic partial differential equations using the Minty-Browder theorem, where the continuous classical ...
Jamil Amir Al-hawasy +1 more
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An efficient method for 3D Helmholtz equation with complex solution
AIMS Mathematics, 2023 The Helmholtz equation as an elliptic partial differential equation possesses many applications in the time-harmonic wave propagation phenomena, such as the acoustic cavity and radiation wave.
M. H. Heydari +2 more
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On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations [PDF]
Comm. Partial Differential Equations 33 (2008), no. 2, pp. 177-188, 2007 We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_+^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable coefficients. Several uniqueness theorems and an existence theorem are obtained.
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An inverse problem for an elliptic partial differential equation
Journal of Mathematical Analysis and Applications, 1987 AbstractWe demonstrate uniqueness and local existence of the unknown coefficient a = a(x) in the elliptic equation Δu − a(x) u = 0 in the quarter plane x > 0, y > 0 which is subject to the boundary conditions u(0, y) = ƒ(y), ux(0, y) = g(y), and u(x, 0) = h(x).
John R. Cannon, William Rundell
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