Results 71 to 80 of about 206,050 (258)

On the solution of intuitionistic fuzzy nonlinear Fredholm integral equation using direct computational method

Journal of Big Data
Fuzzy integral equations play an important role in addressing uncertain mathematical problems. There are various techniques present in the literature to solve fuzzy linear integral equations.
Zain Khan, Saleem Abdullah, Ariana Abdul Rahimzai, Saifullah Khan   +3 more
doaj   +1 more source

Solving Linear Volterra – Fredholm Integral Equation of the Second Type Using Linear Programming Method

مجلة بغداد للعلوم, 2020
In this paper, a new technique is offered for solving three types of linear integral equations of the 2nd kind including Volterra-Fredholm integral equations (LVFIE) (as a general case), Volterra integral equations (LVIE) and Fredholm integral equations (
Muna Mansoor Mustafaf
doaj   +1 more source

Fixed Point Results for Interpolative Kannan Type and Ćirić‐Reich‐Rus Type Cyclic Contractions in Dislocated Quasi‐Rectangular b‐Metric Spaces

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This article aims to present a new fixed point (FP) result for interpolative Kannan type and Ćirić‐Reich‐Rus type cyclic contractions (CRRTCCs) in dislocated quasi‐rectangular b‐metric spaces. We go through rigorous steps to prove the existence of a unique FP for the stated mapping in the setting of dislocated quasi‐rectangular b‐metric spaces.
Nigussa L. Bayissa, Kidane K. Tola, Simeon Reich   +2 more
wiley   +1 more source

Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations, II [PDF]

, 2011
In this paper, we develop a new integral representation for the solution of the time harmonic Maxwell equations in media with piecewise constant dielectric permittivity and magnetic permeability in R^3.
Epstein, Charles L., Greengard, Leslie, O'Neil, Michael   +2 more
core  

Regularization by Global DGMRES Method for Ill‐Posed Matrix Equation AXB = G

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this article, we deal with the solution of the linear, large‐size, and ill‐posed matrix equation AXB = G, whose matrix G is contaminated with noise. We apply Tikhonov regularization in combination with the Gl‐DGMRES method to mitigate the effect of noise.
Vahid Hosseinabadi, Hossein Sadeghi Goughery, Mahnoor Sarfraz   +2 more
wiley   +1 more source

Legendre multi-wavelets direct method for solving Fredholm integral equations of the second kind [PDF]

, 2010
In this paper,We use the continuous Legendre multi-wavelets on the interval [0, 1) to solve Fredholm integral equations of the second kind. To do so, we reduced the solution of Fredholm integral equation to the solution of algebraic equations ...
Abbas, Zulkifly, Ghasemi, Mehdi, Vahdati, Saeed   +2 more
core  

Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]

, 2013
This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
A.E. Taigbenu, C. Miranda, D. Natroshvili, E. Shargorodsky, G. Grubb, G.C. Hsiao, J. Chazarain, J. Sladek, J.-L. Lions, L. Boutet de Monvel, M. Costabel, M.S. Agranovich, M.S. Agranovich, O. Chkadua, O. Chkadua, O. Chkadua, O. Chkadua, O. Chkadua, O. Chkadua, P. Grisvard, S. E. Mikhailov, S. Rempel, S.E. Mikhailov, S.E. Mikhailov, S.E. Mikhailov, S.E. Mikhailov, S.E. Mikhailov, S.G. Mikhlin, T. Zhu, T. Zhu, T.G. Ayele, W. McLean   +31 more
core   +2 more sources

A Lucas Operational Matrix Method for Solving Nonlinear Fractional Two‐Dimensional Partial Volterra Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami, A. Ebadian, A. A. Khajehnasiri, Kareem T. Elgindy, Birendra Nath Mandal   +4 more
wiley   +1 more source

Differential Equations for Sine-Gordon Correlation Functions at the Free Fermion Point

, 1994
We demonstrate that for the sine-Gordon theory at the free fermion point, the 2-point correlation functions of the fields $\exp (i\al \Phi )$ for $0< \al < 1$ can be parameterized in terms of a solution to a sinh-Gordon-like equation.
André LeClair, Babelon, Babelon, Berezin, Bernard, Bernard, Cardy, Coleman, Denis Bernard, Ginsparg, Itoyama, Its, Jimbo, Korepin, LeClair, Sato, Sato, Sato, Schroer, Smirnov, Wu, Yurov, Zuber   +22 more
core   +3 more sources

Fredholm factorization of Wiener-Hopf scalar and matrix kernels [PDF]

, 2007
A general theory to factorize the Wiener-Hopf (W-H) kernel using Fredholm Integral Equations (FIE) of the second kind is presented. This technique, hereafter called Fredholm factorization, factorizes the W-H kernel using simple numerical quadrature.
Abrahams, Bart, Budaev, Daniele, Daniele, Daniele, G. Lombardi, Gohberg, Gohberg, Hashimoto, Jones, Kantorovich, Noble, V. Daniele, Vekua, Weinstein, Zhu   +16 more
core   +1 more source