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FINITE-ELEMENT METHODS FOR SOLVING INITIAL-BOUNDARY VALUE PROBLEMS by HOUSTIS, ELIAS NICHOLAOS

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SCHEMES OF FINITE ELEMENT METHOD FOR SOLVING MULTIDIMENSIONAL BOUNDARY VALUE PROBLEMS by Batgerel, Balt, Vinitsky, Sergue I, Chuluunbaatar, Ochbadrakh, Busa, Jan, Jr, Blinkov, Yury A, Gusev, Alexander A, Deveikis, Algirdas, Chuluunbaatar, Galmandakh, Ulziibayar, Vandandoo

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MIXED INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIC LINEAR HYPERBOLIC EQUATIONS by SHULMAN, HAROLD

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ON MULTIGRID METHODS FOR SOLVING TWO-DIMENSIONAL BOUNDARY-VALUE PROBLEMS by Gurieva, Y.L, Il'in, V.P, Petukhov, A.V

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METHOD FOR SOLVING MIXED BOUNDARY VALUE PROBLEMS FOR HYPERBOLIC TYPE EQUATIONS BY USING LAGRANGE–STURM–LIOUVILLE OPERATORS by Trynin, A. Yu

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On the Convergence of a Spline Method for Singular Two Point Boundary Value Problems Arising in Physiology by Pandey, R. K.

“…The second order spline method developed by Iyengar et al. [11] for the problems $$\eqalign{ x^{-\alpha}(x^\alpha y^\prime)^\prime & = f(x,y),\quad 0…”
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TWO METHODS USING POWER SERIES FOR SOLVING ANALYTIC INITIAL VALUE PROBLEMS by LEWIS, GLENN EDWIN

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A new boundary element method for mixed boundary value problems involving cracks and holes: Interactions between rigid inclusions and cracks by Wang, Y.B., Chau, K.T.

“…This paper derives a new boundary integral equation (BIE) formulation for plane elastic bodies containing cracks and holes and subjected to mixed displacement/ traction boundary conditions, and proposes a new boundary element method (BEM…”
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An α-Robust Semidiscrete Finite Element Method for a Fokker–Planck Initial-Boundary Value Problem with Variable-Order Fractional Time Derivative by Le, Kim-Ngan, Stynes, Martin

“…A time-fractional initial-boundary value problem of Fokker–Planck type is considered on the space-time domain Ω × [ 0 , T ] , where Ω…”
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An Adaptive Finite Element Method for Initial-Boundary Value Problems for Partial Differential Equations by Davis, Stephen F, Flaherty, Joseph E

“…A finite element method is developed to solve initial-boundary value problems for vector systems of partial differential equations in one space dimension and time…”
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An adaptive finite-element method for initial-value problems for partial differential equations by Davis, Stephen F., Flaherty, Joseph E.

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Boundary Element Method Solution of Initial and Boundary Value Problems in Fluid Dynamics and Magnetohydrodynamics by Bozkaya, Canan

“…In this thesis, the two-dimensional initial and boundary value problems invol\-ving convection and diffusion terms are solved using the boundary element method (BEM…”
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Numerical solutions of the initial boundary value problem for the perturbed conformable time Korteweg‐de Vries equation by using the finite element method by Pedram, Leila, Rostamy, Davoud

“…In this paper, we investigate the initial‐boundary‐value problem for the nonhomogeneous Korteweg…”
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Numerical solution of initial boundary-value problem for homogeneous wave equation with dynamic boundary conditions using Laguerre transform on time variable and boundary element method by Hlova, Andrii, Litynskyy, Svyatoslav, Muzychuk, Yuriy, Muzychuk, Anatoliy

“…Initial boundary-value problem for the homogeneous wave equation with dynamic boundary condition is considered in three-dimensional Lipschitz domain…”
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Initial value problem formulation of time domain boundary element method for electromagnetic microwave simulations by Kawaguchi, H., Weiland, T.

“…To aim to obtain more stable solutions and wider area applications for the Time Domain Boundary Element Method (TDBEM…”
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Numerical analysis of the meshless element-free Galerkin method for hyperbolic initial-boundary value problems by Tang, Yaozong, Li, Xiaolin

“…The meshless element-free Galerkin method is developed for numerical analysis of hyperbolic initial-boundary value problems…”
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The local discontinuous Galerkin finite element method for a multiterm time-fractional initial-boundary value problem by Wang, Zhen

“…In this paper, we study a multiterm time-fractional initial-boundary value problem, whose differential equation contains a sum of Caputo time fractional derivatives with orders in (0, 1…”
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Three-dimensional time domain boundary element method with initial value problem formulation by Kawaguchi, Hideki, Itasaka, Seiya

“… In this paper, three-dimensional time domain boundary element method employing an initial value problem formulation is presented to avoid the instability caused…”
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Initial Value Problem Formulation of 3-D Time Domain Boundary Element Method by Kawaguchi, Hideki, Itasaka, Seiya, Weiland, Thomas

“… To avoid the numerical instability and inaccuracy caused by the conventional open boundary problem formulation of the TDBEM, an initial value problem formulation of 3-D…”
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On the Numerical Solution of the Initial-Boundary Value Problem with Neumann Condition for the Wave Equation by the Use of the Laguerre Transform and Boundary Elements Method by Litynskyy, Svyatoslav, Muzychuk, Yuriy, Muzychuk, Anatoliy

“…We consider a numerical solution of the initial-boundary value problem for the homogeneous wave equation with the Neumann condition using the retarded double layer potential…”
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