A fast and well-conditioned spectral method [PDF]
, 2012 A novel spectral method is developed for the direct solution of linear ordinary differential equations with variable coefficients. The method leads to matrices which are almost banded, and a numerical solver is presented that takes $O(m^{2}n)$ operations,
Olver, Sheehan, Townsend, Alex
core +1 more source
DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : This paper applies the differential transform method to search for semi numerical-analytical solutions of a class of singular two-point boundary value problems.
Vedat ERTÜRK
doaj
GLOBAL STABILITY AND PERIODIC SOLUTION OF A VIRAL DYNAMIC MODEL
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 :In this paper, we consider the classical viral dynamic mathematical model. Global dynamics of the model is rigorously established. We prove that, if the basic reproduction number, the HIV infection is cleared from the T-cell population; if , the HIV ...
Erhan COŞKUN
doaj
Dirichlet Boundary Value Problems for Second Order $p$-Laplacian Difference Equations [PDF]
, 2010 In this paper, the solutions to second order Dirichlet boundary value problems of $p$-Laplacian difference equations are investigated. By using critical point theory, existence and multiplicity results are obtained.
Liu, Zhongzhi +2 more
core +1 more source
ON A NUMERICAL SOLUTION OF THE LAPLACE EQUATION [PDF]
, 2015 The Laplace Equation in three variable can be reduced to three ODEs by means of the Fourier method. For the cases when the exact solution does not exist, or it is complicated,we apply the wavelet-Galerkin method to the ODEs.
HADZI-VELKOVA SANEVA, KATERINA +2 more
core
Matrix methods for radial Schr\"{o}dinger eigenproblems defined on a semi-infinite domain
, 2013 In this paper, we discuss numerical approximation of the eigenvalues of the one-dimensional radial Schr\"{o}dinger equation posed on a semi-infinite interval.
Aceto, Lidia +2 more
core
Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. [PDF]
Heliyon, 2023 Berrone S +3 more
europepmc +1 more source
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
Least-Squares Solutions of Eighth-Order Boundary Value Problems Using the Theory of Functional Connections. [PDF]
Mathematics (Basel), 2020 Johnston H, Leake C, Mortari D.
europepmc +1 more source