Results 21 to 30 of about 494,879 (330)

THE NUMERICAL METHODS FOR SOLVING NONLINEAR INTEGRAL EQUATIONS

open access: yesIJRDO -JOURNAL OF MATHEMATICS, 2023
Volterra integral equations are a special type of integrative equations; they are divided into two categories referred to as the first and second type. This thesis will deal with the second type which has wide range of the applications in physics and engineering problems.
Abdel Radi   +1 more
openaire   +1 more source

Gr\"obner Bases and Generation of Difference Schemes for Partial Differential Equations [PDF]

open access: yes, 2006
In this paper we present an algorithmic approach to the generation of fully conservative difference schemes for linear partial differential equations. The approach is based on enlargement of the equations in their integral conservation law form by extra ...
Blinkov, Yuri A.   +2 more
core   +2 more sources

Projection methods for integral equations in epidemic

open access: yesMathematical Modelling and Analysis, 2002
In this paper numerical methods for mixed integral equations are presented. Studied equations arise in the mathematical modeling of the spatio‐temporal development of an epidemic.
L. Hacia
doaj   +1 more source

Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]

open access: yes, 2013
We analyze the blow-up behavior of one-parameter collocation solutions for Hammerstein-type Volterra integral equations (VIEs) whose solutions may blow up in finite time.
Bandle C.   +6 more
core   +1 more source

Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications [PDF]

open access: yesComputer Methods in Applied Mechanics and Engineering, 2018
In this paper, we propose accurate and efficient finite difference methods to discretize the two- and three-dimensional fractional Laplacian ( − Δ ) α 2 ( 0 α 2 ) in hypersingular integral form.
Siwei Duo, Yanzhi Zhang
semanticscholar   +1 more source

Rough surface backscatter and statistics via extended parabolic integral equation [PDF]

open access: yes, 2015
This paper extends the parabolic integral equation method, which is very effective for forward scattering from rough surfaces, to include backscatter.
Spivack, Mark, Spivack, Orsola Rath
core   +1 more source

Solving initial-boundary mathematical physics’ problems based on Kotelnikov formula (the Nyquist–Shannon formula)

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021
Background. Numerical methods for differential equations solving is a topical problem in applied mathematics. The article is devoted to the numerical-analytical methods of the second and third order of accuracy, based on the approximation of nonlinear ...
O.E. Yaremko, N.N. Yaremko
doaj   +1 more source

On numerical methods for solving hypersingular integral equations on infinite line

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. Hypersingular integral equations on infinite line that arise in many problems of mathematical physics are considered. Materials and methods. Hypersingular equations are studied in Sobolev spaces, which are represented by Fourier series with a
Yuriy G. Smirnov   +2 more
doaj   +1 more source

Numerical solution of certain Cauchy singular integral equations using a collocation scheme

open access: yesAdvances in Difference Equations, 2020
The present study is devoted to developing a computational collocation technique for solving the Cauchy singular integral equation of the second kind (CSIE-2). Although, several studies have investigated the numerical approximation solution of CSIEs, the
Ali Seifi
doaj   +1 more source

Sixth-Kind Chebyshev and Bernoulli Polynomial Numerical Methods for Solving Nonlinear Mixed Partial Integrodifferential Equations with Continuous Kernels

open access: yesJournal of Function Spaces, 2023
In the present paper, a new efficient technique is described for solving nonlinear mixed partial integrodifferential equations with continuous kernels.
Abeer M. Al-Bugami   +2 more
doaj   +1 more source

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