Results 31 to 40 of about 453 (157)

On a Three-Dimensional Heat Wave Generated by Boundary Condition Specified on a Time-Dependent Manifold

Известия Иркутского государственного университета: Серия "Математика", 2018
The article is devoted to study the nonlinear heat equation (the porous medium equation) in the case of power nonlinearity. Three–dimensional problem of the initiation of a heat wave by boundary condition specified on a time–dependent manifold is ...
A. Kazakov, P. Kuznetsov, L.F. Spevak
doaj   +1 more source

Stressed State of a Hollow Cylinder with a System of Cracks under Longitudinal Shear Harmonic Oscillations [PDF]

Journal of Mechanical Engineering, 2019
This paper solves the problem of determining the stress state near cracks in an infinite hollow cylinder of arbitrary cross section during longitudinal shear oscillations. We propose an approach that allows us to separately satisfy conditions both on the
Olga I. Kyrylova, Vsevolod H. Popov
doaj   +1 more source

On Regularization of the Solution of Integral Equations of the First Kind Using Quadrature Formulas

Vestnik St. Petersburg University, Mathematics, 2021
Ill-conditioned systems of linear algebraic equations (SLAEs) and integral equations of the first kind belonging to the class of ill-posed problems are considered. This also includes the problem of inverting the integral Laplace transform, which is used to solve a wide class of mathematical problems. Integral equations are reduced to SLAEs with special
Lebedeva, A. V., Ryabov, V. M.
openaire   +2 more sources

THREE-DIMENSIONAL CONTACT PROBLEM FOR A TRANSVERSELY ISOTROPIC SOLID

Advanced Engineering Research, 2013
The spatial contact problem with an unknown contact domain is investigated for a transversely isotropic elastic half-space the boundary of which is perpendicular to the planes of isotropy.
Dmitry Alexandrovich Pozharskiy, David Borisovich Davtyan   +1 more
doaj   +1 more source

Iterative methods for solving Ambartsumian’s equations. Part 1

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021
Background. Ambartsumian’s equation and its generalizations are one of the main integral equations of astrophysics, which have found wide application in many areas of physics and technology. An analytical solution to this equation is currently unknown,
I.V. Boykov, A.A. Shaldaeva
doaj   +1 more source

Quadrature solution of ordinary and partial differential equations

Mathematical and Computer Modelling, 1988
An entirely new alternative orthogonal polynomial (or Bellman-type) quadrature method is presented for the solution of ordinary and partial differential equations. The quadrature method, like finite difference and finite element methods, obtains an approximate solution in terms of unknown nodal values of the dependent variable(s), but, like the ...
Oluremi Olaofe, G, Mason, John C
openaire   +1 more source

Numerical Solutions of the Generalized Burgers‐Huxley Equation by a Differential Quadrature Method [PDF]

Mathematical Problems in Engineering, 2009
Numerical solutions of the generalized Burgers‐Huxley equation are obtained using a polynomial differential quadrature method with minimal computational effort. To achieve this, a combination of a polynomial‐based differential quadrature method in space and a low‐storage third‐order total variation diminishing Runge‐Kutta scheme in time has been used ...
Sarı, Murat, Gürarslan, Gürhan
openaire   +4 more sources

Computational solutions for Eikonal equation by differential quadrature method

Alexandria Engineering Journal, 2022
This article presents an efficient method to solve of Eikonal equation by the new differential quadrature method. The purpose of this article is to obtain the accuracy and performance method for the Eikonal equation. We introduce a novel grid points to reduce errors and compared them on different issues to accelerate convergence.
Mehrullah Mehr, Davood Rostamy
openaire   +2 more sources

Critical Poles and Third-Order Nonlinear Differential Equations

Mathematics
The paper deals with the results of a study of a third-order nonlinear differential equation with moving singular points and critical poles. So far, this type of equation cannot be solved in quadratures.
Victor Orlov
doaj   +1 more source

Iterative methods of Ambartsumian equations’ solutions. Part 2

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022
Background. Ambartsumian equation and its generalizations are one of the main integral equations of astrophysics, which have found wide application in many areas of physics and technology.
I.V. Boykov, A.A. Pivkina
doaj   +1 more source