Results 81 to 90 of about 7,017 (197)

Two-dimensional triangular functions and their applications to nonlinear 2D Volterra–Fredholm integral equations

Computers & Mathematics with Applications, 2010
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Babolian, E., Maleknejad, K., Roodaki, M., Almasieh, H.   +3 more
openaire   +2 more sources

Corrections on A numerical method for solving nonlinear Volterra--Fredholm integral equations

, 2019
Some corrections are made in our article, which was published in Appl. Anal. Optim. Vol. 3 (2019), No. 1, 103--127. These corrections are intended to transform the equation \eqref{eq:1.1} \begin{equation}\label{eq:1.1} x(t) + \int\limits_a^t {K_1(t,s,x(s)) ds} + \int\limits_a^b {K_2(t,s,x(s)) ds} = g(t),\;\,a \le t \le b \tag{1.1} \end{equation} into a
Binh, Ngo Thanh, Van Ninh, Khuat
openaire   +2 more sources

Generalized Nonlinear Volterra-Fredholm Type Integral Inequality with Two Variables

Journal of Applied Mathematics, 2014
We establish a class of new nonlinear retarded Volterra-Fredholm type integral inequalities, with two variables, where known function w in integral functions in Q.-H. Ma and J. Pečarić, 2008 is changed into the functions w1,w2. By adopting novel analysis
Yusong Lu, Wu-Sheng Wang, Xiaoliang Zhou, Yong Huang   +3 more
doaj   +1 more source

A Novel Approach to Nonlinear Volterra-Fredholm Integral Equations Using Abaoub Shkheam Decomposition Method

International Journal of Latest Technology in Engineering Management & Applied Science
In this study, we introduce a novel approach to the solution of a nonlinear Volterra -Fredholm integral equations by applying the Adomian decomposition method under the effect of the Abaoub- Shkheam transform.
Ali E. Abaoub, Abejela S. Shkheam, Khireya A. Alkeweldy   +2 more
semanticscholar   +1 more source

Numerical solution of nonlinear Volterra-Fredholm integral equations by using new basis functions

, 2013
In this paper, we present a numerical method to solve the nonlinear Volterra-Fredholm integral equations by new basis functions (NFs). This is demonstrated by using a complementary pair of new orthogonal basis functions set (NFs) derived from the well ...
M. Paripour, M. Kamyar
semanticscholar   +1 more source

An Appropriate Numerical Method for Solving Nonlinear Volterra-Fredholm Integral Equations

International Journal of Mathematics and Systems Science, 2018
This paper is concerned with the numerical solution of the mixed Volterra-Fredholm integral equations by using a version of the block by block method. This method efficient for linear and nonlinear equations and it avoids the need for spacial starting values.
openaire   +1 more source

A review on “Numerical solution of nonlinear Volterra-Fredholm integral equations using hybrid of …” [Alexandria Eng. J. 52 (2013) 551–555]

Alexandria Engineering Journal, 2019
This is a review on the published paper (Mirzaee and Hoseini, 2013), where there are some major scientific errors. After considering these errors, we attempt to correct them by presenting an accurate formula.
M. Sabzevari
semanticscholar   +1 more source

Spectral technique with convergence analysis for solving one and two-dimensional mixed Volterra-Fredholm integral equation. [PDF]

PLoS One, 2023
Amin AZ, Amin AK, Abdelkawy MA, Alluhaybi AA, Hashim I.   +4 more
europepmc   +1 more source

An improvement of the product integration method for a weakly singular Hammerstein equation

, 2016
We present a new method to solve nonlinear Hammerstein equations with weakly singular kernels. The process to approximate the solution, followed usually, consists in adapting the discretization scheme from the linear case in order to obtain a nonlinear ...
Grammont, Laurence, Kaboul, Hanane
core   +1 more source

Analysis of mixed type nonlinear Volterra-Fredholm integral equations involving the Erdé

Journal of King Saud University - Science, 2023
Supriya Kumar Paul, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Dumitru Baleanu   +3 more
semanticscholar   +1 more source