Results 41 to 50 of about 233,511 (375)
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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Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
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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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, 2015 We study the spectral problem for the system of difference equations of a two-dimensional elliptic partial differential equation with nonlocal conditions. A new form of two-point nonlocal conditions that involve interior points is proposed. The matrix of
A. Elsaid, S. Helal, A. El-Sayed
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High-precision quantum algorithms for partial differential equations [PDF]
Quantum, 2020 Quantum computers can produce a quantum encoding of the solution of a system of differential equations exponentially faster than a classical algorithm can produce an explicit description.
Andrew M. Childs +2 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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On the initial value problem for a partial differential equation with operator coefficients
International Journal of Mathematics and Mathematical Sciences, 1980 In the present work it is studied the initial value problem for an equation of the form L∂ku∂tk=∑j=1kLj∂k−ju∂tk−j,where L is an elliptic partial differential operator and (Lj:j=1,…,k) is a family of partial differential operators with bounded operator ...
Mahmoud M. El-Borai
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Abstract and Applied Analysis, 2012 We obtain the classification of exact solutions, including soliton, rational, and elliptic solutions, to the one-dimensional general improved Camassa Holm KP equation and KdV equation by the complete discrimination system for polynomial method.
Yusuf Pandir +3 more
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Pan-American Journal of MathematicsThe method of lines (MOL) is a solution procedure for solving partial differential equation (PDE) and the Crank-Nicholson method (CNM) is an implicit finite difference method, used to solve the elliptic equation and similar partial differential equations
Md Roknujjaman +2 more
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Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
Advances in Difference Equations, 2018 This paper deals with the analytical solutions for two models of special interest in mathematical physics, namely the ( 2 + 1 ) $(2+1)$ -dimensional generalized Calogero-Bogoyavlenskii-Schiff equation and the ( 3 + 1 ) $(3+1)$ -dimensional generalized ...
Bo Huang, Shaofen Xie
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