Results 21 to 30 of about 450,807 (339)
Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations [PDF]
, 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
Rough surface backscatter and statistics via extended parabolic integral equation [PDF]
, 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
Известия 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
Numerical solution of certain Cauchy singular integral equations using a collocation scheme
Advances 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
Numerical solution of volterra integral equations with weakly singular kernel using legendre wavelet method [PDF]
Mathematics and Computational SciencesThe presented paper investigates a new numerical method based on the characteristics of Legendre wavelet for solving Volterra Integral equations in this method,With the help of block-pulse functions and their characteristics, we obtain the fractional ...
Ali Khani, Nader Belalzadeh
doaj +1 more source
Journal 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
A Numerical Method for Solving Stochastic Volterra-Fredholm Integral Equation
Iranian Journal of Mathematical Sciences and Informatics, 2023 Summary: In this paper, we propose a numerical method based on the generalized hat functions (GHFs) and improved hat functions (IHFs) to find numerical solutions for stochastic Volterra-Fredholm integral equation. To do so, all known and unknown functions are expanded in terms of basic functions and replaced in the original equation.
Momenzade, N. +2 more
openaire +2 more sources
FE/BE coupling for an acoustic fluid-structure interaction problem. Residual a posteriori error estimates [PDF]
, 2012 This is the author's accepted manuscript. The final published article is available from the link below. Copyright © 2011 John Wiley & Sons, Ltd.In this paper, we developed an a posteriori error analysis of a coupling of finite elements and boundary ...
Domínguez, C, Maischak, M, Stephan, EP
core +1 more source
Numerical integration methods for the solution of singular integral equations [PDF]
Quarterly of Applied Mathematics, 1977 The evaluation of the stress intensity factors at the tips of a crack in a homogeneous isotropic and elastic medium may be achieved with higher accuracy and much less computation if the Lobatto-Chebyshev method of numerical solution of the corresponding system of singular integral equations is used instead of the method of Gauss-Chebyshev commonly ...
Theocaris, P. S., Ioakimidis, N. I.
openaire +1 more source
MADNESS: A Multiresolution, Adaptive Numerical Environment for Scientific Simulation
, 2015 MADNESS (multiresolution adaptive numerical environment for scientific simulation) is a high-level software environment for solving integral and differential equations in many dimensions that uses adaptive and fast harmonic analysis methods with ...
Beylkin, Gregory +26 more
core +1 more source