Results 41 to 50 of about 17,494 (125)

Legendre collocation method and its convergence analysis for the numerical solutions of the conductor-like screening model for real solvents integral equation

Bulletin of Computational Applied Mathematics, 2016
In this paper, a reliable algorithm for solving the nonlinear Hammerstein integral equation arising from chemical phenomenon is presented. The conductor-like screening model for real solvents (COSMO-RS) integral equation will be solved by the shifted ...
Esmail Hesameddini, Mehdi Shahbazi
doaj  

Modification of the Differential Transform Method With Search Direction Along the Spatial Axis

International Journal of Differential Equations
This paper presents a modification of the Differential Transform Method (ModDTM) formulated so that the search direction of the solution is along a spatial axis (x). It is shown that the method is applicable to a wide spectrum of 1+1 partial differential
Helena Nayar, Patrick Azere Phiri
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On the Multiwavelets Galerkin Solution of the Volterra–Fredholm Integral Equations by an Efficient Algorithm

Journal of Mathematics, 2020
We develop the multiwavelet Galerkin method to solve the Volterra–Fredholm integral equations. To this end, we represent the Volterra and Fredholm operators in multiwavelet bases.
H. Bin Jebreen
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Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices

Advances in Mathematical Physics, 2013
We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the ...
Mohsen Alipour, Dumitru Baleanu
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Solving Second Kind Volterra-Fredholm Integral Equations by Using Triangular Functions (TF) and Dynamical Systems [PDF]

Control and Optimization in Applied Mathematics, 2017
The method of triangular functions (TF) could be a generalization form of the functions of block-pulse (Bp). The solution of second kind integral equations by using the concept of TF would lead to a nonlinear equations system.
Azhdar Soleymanpour Bakefayat, Sima Karamseraji   +1 more
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Sumudu decomposition method with non-singular kernel operators for solving time fractional Whitham-Broer-Kaup equations

Boundary Value Problems
This paper presents an analytical solution framework for the coupled fractional Whitham–Broer–Kaup (FWBK) equations using the Sumudu transform (ST) and decomposition method (DM), where the fractional derivatives of Atangana–Baleanu in Caputo sense (ABC ...
Shams A. Ahmed, Mohammed G. S. Al-Safi, Rasool Shah, Anis Mohamed, Abdelgabar Adam Hassan, Adam Zakria, Ahmed Yahya   +6 more
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Solving optimal control problems with integral equations or integral equations - differential with the help of cubic B-spline scaling functions and wavelets

پژوهش‌های ریاضی, 2020
Introduction Optimal control problems (OCPs) appear in a wide class of applications. In the classical control problems, the state-space equations are expressed as differential equations.
Hamid Mesgarani, Hamid Safdari, Abolfazl Ghasemian   +2 more
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The Study of Fractional Quadratic Integral Equations Involves General Fractional Integrals

Fractal and Fractional
This paper investigates the well-posedness of analytical solutions to fractional quadratic differential equations, which involve generalized fractional integrals with respect to other functions.
Mi Zhou, Hengtai Wang, Zhenghua Xu, Lu Zhang   +3 more
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Multivalued nonlinear dominated mappings on a closed ball and associated numerical illustrations with applications to nonlinear integral and fractional operators

Heliyon
In the context of complete strong b-metric-like spaces, we prove new multi-fixed point solutions for the pair of multivalued, dominated operators that fulfill the generalized nonlinear contractions on a closed ball. We employ a mix of two different types
Tahair Rasham, Sumati Kumari Panda, Ghada Ali Basendwah, Aftab Hussain   +3 more
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A new numerical technique to seek properties of the nonlinear oscillators

Journal of Low Frequency Noise, Vibration and Active Control
Numerical methods are widely used in the area of nonlinear problems including differential equations. There are various integral transformations to study the frequency formulations and nonlinear solutions, but there are many types of transformations that
Jing-Yan Niu, Guang-Qing Feng
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