Results 21 to 30 of about 145 (75)

A New Higher-Order Iterative Scheme for the Solutions of Nonlinear Systems

Mathematics, 2020
Many real-life problems can be reduced to scalar and vectorial nonlinear equations by using mathematical modeling. In this paper, we introduce a new iterative family of the sixth-order for a system of nonlinear equations. In addition, we present analyses
Ramandeep Behl, Ioannis K. Argyros
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Numerical Solutions of Duffing Van der Pol Equations on the Basis of Hybrid Functions

Advances in Mathematical Physics, 2023
In the present work, a new approximated method for solving the nonlinear Duffing-Van der Pol (D-VdP) oscillator equation is suggested. The approximate solution of this equation is introduced with two separate techniques. First, we convert nonlinear D-VdP
M. Mohammadi, A. R. Vahidi, T. Damercheli, S. Khezerloo   +3 more
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A fast iterative spectral scheme based on novel operational matrices for nonlinear fractional-order singular integral problems

Ain Shams Engineering Journal
Analytic solutions of nonlinear Volterra-Fredholm integral equations with generalized singular kernel arise in atomic scattering, electron emission, microscopy, radio astronomy, radar ranging, plasma diagnostics, and optical fiber evaluation and found a ...
Muhammad Usman, Muhammad Hamid, Dianchen Lu, Zhengdi Zhang, Shahram Rezapour, Mohamed Abdelghany Elkotb   +5 more
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New Existence and Uniqueness Results for Fractional Differential Equations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper, we study a class of boundary value problems of nonlinear fractional differential equations with integral boundary conditions. Some new existence and uniqueness results are obtained by using Banach fixed point theorem.
Anber Ahmed, Belarbi Soumia
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The Cardinal Spline Methods for the Numerical Solution of Nonlinear Integral Equations

Journal of Chemistry, 2020
In this study, an effective technique is presented for solving nonlinear Volterra integral equations. The method is based on application of cardinal spline functions on small compact supports.
Xiaoyan Liu, Jin Xie, Zhi Liu, Jiahuan Huang   +3 more
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Some Compatible and Weakly-Compatible Four Self-Mapping Results Approach to Nonlinear Integral Equations in Fuzzy Cone Metric Spaces

Journal of Function Spaces, 2021
This paper is aimed at proving some unique common fixed point theorems by using the compatible and weakly-compatible four self-mappings in fuzzy cone metric (FCM) space.
Saif Ur Rehman, Hawraa Akram Yazbek, Rashad A. R. Bantan, Mohammed Elgarhy   +3 more
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Decomposition–Linearization–Sequential Homotopy Methods for Nonlinear Differential/Integral Equations

Mathematics
In the paper, two new analytic methods using the decomposition and linearization technique on nonlinear differential/integral equations are developed, namely, the decomposition–linearization–sequential method (DLSM) and the linearized homotopy ...
Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang   +2 more
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Combination of integral and projected differential transform methods for time-fractional gas dynamics equations

Ain Shams Engineering Journal, 2018
The present paper discusses the solution of nonlinear homogeneous and nonhomogeneous time-fractional gas dynamic equations arising in shock fronts by a new combination of new integral and projected differential transform method.
Kunjan Shah, Twinkle Singh, Adem Kılıçman   +2 more
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Multistage Optimal Homotopy Asymptotic Method to Solve Fuzzy Fredholm Integral Equations of Second Kind

Journal of Applied Science and Engineering
Various complex, unpredictable, and time-delayed physical events rely on fuzzy integral equations (FIEs), playing a crucial role in representing these applications.
Muath Talal Mahmoud AlZubi, Ali Fareed Jameel, Farah Aini Abdullah, Adila Aida Azahar   +3 more
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Cutting-Edge Spectral Solutions for Differential and Integral Equations Utilizing Legendre’s Derivatives [PDF]

Iranian Journal of Numerical Analysis and Optimization
This research introduces a spectral numerical method for solving some types of integral equations, which is the pseudo-Galerkin spectral method. The presented method depends on Legendre’s first derivative polynomials as basis functions.
A.M. Abbas, Y.H. Youssri, M. El-Kady, M. Abdelhakem   +3 more
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