INTEGRAL_EQUATION

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On the Numerical Solution of Diffraction Problem by Random Spheres Using Electric Field Integral Equation
《Applied Mathematics》2023年第1期35-56,共22页Sahar Malwi Al Malky Sharefa Eisa Ali Alhazmi 
The aim of this paper is to solve the two-dimensional acoustic scattering problems by random sphere using Electric field integral equation. Some approximations for the two-dimensional case are derived. These various a...
关键词：Multiple Scattering Integral Equation High Frequency ACOUSTIC Iterative Solver 
Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel
《Applied Mathematics》2017年第2期209-214,共6页Fatheah Ahmed Hendi Manal Mohamed Al-Qarni 
In this article, we present approximate solution of the two-dimensional singular nonlinear mixed Volterra-Fredholm integral equations (V-FIE), which is deduced by using new strategy (combined Laplace homotopy perturba...
关键词：Singular Integral Equation Linear and NONLINEAR V-FIE HOMOTOPY Perturbation Method (HPM) CAUCHY Kernel 
Parabolic Partial Differential Equations as Inverse Moments Problem被引量：4
《Applied Mathematics》2016年第1期77-99,共14页Maria B. Pintarelli 
We considerer parabolic partial differential equations under the conditions on a region . We will see that we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve...
关键词：Parabolic PDEs Freholm Integral Equations Generalized Moment Problem 
A Closed-Form Solution of a Kinetic Integral Equation for Rarefied Gas Flow in a Cylindrical Duct
《Applied Mathematics》2014年第10期1516-1527,共12页Carmo Henrique Kamphorst Patricia Rodrigues Liliane Basso Barichello 
CNPq of Brazil for partial financial support of this work.
A spectral method based on Hermite cubic splines expansions combined with a collocation scheme is used to develop a solution for the vector form integral S-model kinetic equation describing rarefied gas flows in cylin...
关键词：Rarefied Gas Dynamics Integral Equation S-Model Collocation Schemes 
A Spectral Integral Equation Solution of the Gross-Pitaevskii Equation
《Applied Mathematics》2013年第10期70-77,共8页George Rawitscher 
The Gross-Pitaevskii equation (GPE), that describes the wave function of a number of coherent Bose particles contained in a trap, contains the cube of the normalized wave function, times a factor proportional to the n...
关键词：Iterative SOLUTION of the Gross-Pitaevskii EQUATION SPECTRAL SOLUTION of an Integral EQUATION BOSE-EINSTEIN CONDENSATES 
To Theory One Class Linear Model Noclassical Volterra Type Integral Equation with Left Boundary Singular Point
《Applied Mathematics》2013年第9期1301-1312,共12页Nusrat Rajabov 
In this work, we investigate one class of Volterra type integral equation, in model case, when kernels have first order fixed singularity and logarithmic singularity. In detail study the case, when n = 3. In depend of...
关键词：NEOCLASSICAL VOLTERRA Type Integral Equation LEFT BOUNDARY SINGULAR Point BOUNDARY Value Problems 
Solution of Some Integral Equations Involving Confluent <i>k</i>-Hypergeometric Functions
《Applied Mathematics》2013年第7期9-11,共3页Shahid Mubeen 
The principle aim of this research article is to investigate the properties of k-fractional integration introduced and defined by Mubeen and Habibullah [1],and secondly to solve the integral equation of the form , for...
关键词：Linear Integral Equations FRACTIONAL INTEGRALS Confluent HYPERGEOMETRIC Functions 
The Existence and Uniqueness of Random Solution to ItôStochastic Integral Equation
《Applied Mathematics》2012年第7期800-804,共5页Hamdin Ahmed Alafif Caishi Wang 
The objective of this paper is to attempt to apply the theoretical techniques of probabilistic functional analysis to answer the question of existence and Uniqueness of a Random Solution to It? Stochastic Integral Equ...
关键词：Ito Integral Brownian Motion Probabilistic Functional Analysis Banach Space 
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