Results 1 to 10 of about 2,134 (208)
The explicit solution of the Neumann boundary value problem for Bauer differential equation in circular domains [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article is devoted to the boundary value problem of Neumann problem's type for solutions of one second-order elliptic differential equation.
Rasulov, Karim Magomedovich +1 more
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High-precision quantum algorithms for partial differential equations [PDF]
Quantum, 2021 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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On the Solution of the Dirichlet Problem for Second-Order Elliptic Systems in the Unit Disk
Mathematics, 2023 The role played by explicit formulas for solving boundary value problems for elliptic equations and systems is well known. In this paper, explicit formulas for a general solution of the Dirichlet problem for second-order elliptic systems in the unit disk
Astamur Bagapsh, Alexandre Soldatov
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Axioms, 2022 In this article we construct parallel solvers analyze the efficiency and accuracy of general parallel solvers for three dimensional parabolic problems with the fractional power of elliptic operators.
Raimondas Čiegis +2 more
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Eigenvalues of Elliptic Functional Differential Systems via a Birkhoff–Kellogg Type Theorem
Mathematics, 2020 Motivated by recent interest on Kirchhoff-type equations, in this short note we utilize a classical, yet very powerful, tool of nonlinear functional analysis in order to investigate the existence of positive eigenvalues of systems of elliptic functional ...
Gennaro Infante
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Weighted extended B-spline finite element analysis of a coupled system of general elliptic equations [PDF]
International Journal of Advances in Engineering Sciences and Applied Mathematics, 2018 In this study we establish the existence and uniqueness of the solution of a coupled system of general elliptic equations with anisotropic diffusion , non-uniform advection and variably influencing reaction terms on Lipschitz continuous domain $ \subset \mathbb{R}^m $ (m$\geq$1) with a Dirichlet boundary.
Chakraborty, Ayan, Kumar, B. V. Rathish
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Monotone iterations method for fractional diffusion equations
Математичні Студії, 2022 In recent years, there has been a growing interest on non-local models because of their relevance in many practical applications. A widely studied class of non-local models involves fractional order operators.
M. Krasnoshchok
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The Pohozaev-type inequalities and their applications for a kind of elliptic equation (system)
Boundary Value Problems, 2020 In this paper, we first derive a new kind of Pohozaev-type inequalities for p-Laplacian equations in a more general class of non-star-shaped domains, and then we take two examples and their graphs to explain the shape of the new kind of the non-star ...
Bingyu Kou, Tianqing An, Zeyan Wang
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Alexandria Engineering Journal, 2023 Nonlinear partial differential equations emerge in an extensive variants of physical problems inclusive of fluid dynamics, solid mechanics, plasma physics, quantum field theory as well as mathematics and engineering. It has also been noticed that systems
Oke Davies Adeyemo +3 more
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AIMS Mathematics, 2020 The solution fields of the elliptic boundary value problems may exhibit singularities near the corners, edges, crack tips, and so forth of the physical domain. The corner singularity theory for the solutions of elliptic boundary value problems on domains
Yasir Nadeem Anjam
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