Results 11 to 20 of about 137,700 (252)

Euler Operational Matrix of Integration and Collocation Method for Solving Functional Integral Equations [PDF]

Sahand Communications in Mathematical Analysis
In this paper, the functional Volterra integral equations of the Hammerstein type are studied. First, some conditions that ensure the existence and uniqueness of the solutions to these equations within the space of square-integrable functions are ...
Sohrab Bazm, Fatemeh Pahlevani
doaj   +1 more source

Formation of Probing Signals of Piezoelectric Transducers for Ultrasonic Testing

Известия высших учебных заведений России: Радиоэлектроника, 2023
Introduction. Reducing the duration of the probing pulse at the output of a multilayer radiator is an urgent task of acoustic non-destructive testing. This not only improves the resolution of the system and the accuracy of determining the coordinates of ...
S. I. Konovalov, Z. M. Yuldashev
doaj   +1 more source

LOGARITHMIC IMAGE’S CONVEXITY IN THE INTEGRAL TRANSFORMS THEORY

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The method of integral transforms is one of the most important analytical methods of mathematical modeling. Numerical methods and computational algorithms are developed on its basis.
O. E. Yaremko, N. N. Yaremko, E. S. Mogileva   +2 more
doaj   +1 more source

Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel

Advances in Difference Equations, 2020
This paper presents a fundamental solution method for nonlinear fractional regularized long-wave (RLW) models. Since analytical methods cannot be applied easily to solve such models, numerical or semianalytical methods have been extensively considered in
Mehmet Yavuz, Thabet Abdeljawad
doaj   +1 more source

An efficient high-order algorithm for acoustic scattering from penetrable thin structures in three dimensions [PDF]

, 2007
This paper presents a high-order accelerated algorithm for the solution of the integral-equation formulation of volumetric scattering problems. The scheme is particularly well suited to the analysis of “thin” structures as they arise in certain ...
Anand, Akash, Reitich, Fernando
core   +1 more source

A high-order compact finite difference scheme and precise integration method based on modified Hopf-Cole transformation for numerical simulation of n-dimensional Burgers’ system [PDF]

Applied Mathematics and Computation, 2020
This paper modifies a n-dimensional Hopf-Cole transformation to the n-dimensional Burgers' system. We obtain the n-dimensional heat conduction equation through the modification of the Hopf-Cole transformation. Then the fourth-order precise integration method (PIM) in combination with a spatially global sixth-order compact finite difference (CFD) scheme
Chen, Changkai, Zhang, Xiaohua, Liu, Zhang   +2 more
openaire   +3 more sources

Numerical Solutions for the Nonlinear PDEs of Fractional Order by Using a New Double Integral Transform with Variational Iteration Method

Baghdad Science Journal, 2023
This paper considers a new Double Integral transform called Double Sumudu-Elzaki transform DSET. The combining of the DSET with a semi-analytical method, namely the variational iteration method DSETVIM, to arrive numerical solution of nonlinear PDEs of Fractional Order derivatives.
Mohammed G. S. AL-Safi, Rand Muhaned Fawzi, Wurood R. Abd AL-Hussein   +2 more
openaire   +2 more sources

Improved Conformal Mapping of the Borel Plane [PDF]

, 2000
The conformal mapping of the Borel plane can be utilized for the analytic continuation of the Borel transform to the entire positive real semi-axis and is thus helpful in the resummation of divergent perturbation series in quantum field theory.
Altarelli G, Baker G A, Bender C M, Broadhurst D, Caprini I, Gerhard Soff, J Fischer, Jentschura U D, Jentschura U D, Jentschura U D, LeGuillou J C, LeGuillou J C, Pindor M, Raczka P A, Seznec R, Ulrich D Jentschura, Zinn-Justin J   +16 more
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Joint densities of first hitting times of a diffusion process through two time dependent boundaries [PDF]

, 2014
Consider a one dimensional diffusion process on the diffusion interval $I$ originated in $x_0\in I$. Let $a(t)$ and $b(t)$ be two continuous functions of $t$, $t>t_0$ with bounded derivatives and with $a(t)t_0$. We study the joint distribution of the two
Sacerdote, Laura, Telve, Ottavia, Zucca, Cristina   +2 more
core   +1 more source

Numerical Method For Solving A Kind Of Volterra Integral Equation Using Differential Transform Method

Journal of Mathematics and Computer Science, 2013
In this paper we use differential transform method for solving nonlinear and linear Volterra integral equation with the kernel as ( − ) by using an efficient technique. We approximate the kernel of integral equation with Taylor series and make integral equation simpler by using some techniques that when we use differential transform method,
Hadis Seiheii, Majid Alavi, Fatemeh Ghadami   +2 more
openaire   +2 more sources