Iterative Method for Solving a Fourth Order Differential Equation with Nonlinear Boundary Condition
, 2010 In this paper we consider a fourth order differential equation with nonlinear boundary condition. The existence and uniqueness of a solution is proved. An iterative method for its solution is proposed and the convergence of the method is established.
A +4 more
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, 2001 A two-dimensional nonlinear aerodynamics representation analysis is proposed for the investigation of inviscid flowfields of unsteady airfoils. Such problems are reduced to the solution of a nonlinear multidimensional singular integral equation as the ...
E. G. Ladopoulos
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A Non-Asymptotic Method For Singularly Perturbed Delay Differential Equations
, 2014 In this paper, a non-asymptotic method is presented for solving singularly perturbed delay differential equations whose solution exhibits a boundary layer behavior.
Gemechis File, Y. N. Reddy
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© Hindawi Publishing Corp. FINITE-PART SINGULAR INTEGRAL APPROXIMATIONS IN HILBERT SPACES
, 2003 Some new approximation methods are proposed for the numerical evaluation of the finitepart singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on ...
V. A. Zisis +2 more
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, 2020 In this paper we considerer singularly perturbed convection-diffusion-reaction problems with a turning point whose solution exhibits an interior layer. We establish bounds on the solution to these problems and their derivatives.
Patidar, Kailash C. +2 more
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Hypersingular Integral Equations in Banach Spaces by the Quadrature Method [PDF]
, 2013 A new numerical method is introduced and investigated for the hypersingular integral equations defined in Banach spaces. The hypersingular integral equations belong to a wider class of singular integral equations having much more stronger singularities ...
E G Ladopoulos
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Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. [PDF]
Heliyon, 2023 Berrone S +3 more
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On The Stability Of The Abramov Transfer For Differential-Algebraic Equations Of Index 1
, 1996 . The transfer of boundary conditions for ordinary differential equations developed by Abramov [1] is a stable method for representing the solution spaces of linear boundary value problems.
Thomas Petry
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F-actin bending facilitates net actomyosin contraction By inhibiting expansion with plus-end-located myosin motors. [PDF]
J Math Biol, 2022 Tam AKY, Mogilner A, Oelz DB.
europepmc +1 more source
Terminal boundary-value technique for solving singularly perturbeddelay differential equations
, 2014 terminal boundary-value technique is presented for solving singularly perturbed delay differential equations, the solutions ofwhich exhibit layer behaviour.
Gemechis File, Yanala Narsimha
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