Results 21 to 30 of about 420,792 (330)
AIMS Mathematics, 2023 In the current analysis, steady incompressible Sutterby fluid flows over a stretching cylinder are studied. The influence of variable thermal conductivity is considered in the presence of thermal slip, Darcy resistance, and sponginess.
Nadeem Abbas +3 more
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A method for constructing a complete bifurcation picture of a boundary value problem for nonlinear partial differential equations: application of the Kolmogorov-Arnold theorem [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of this study is to develop a numerical method for bifurcation analysis of nonlinear partial differential equations, based on the reduction of partial differential equations to ordinary ones, using the Kolmogorov-Arnold theorem.
Gromov, Vasily Alexandrovich +4 more
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Application of the Aboodh Transform for Solving Fractional Delay Differential Equations
Universal Journal of Mathematics and Applications, 2020 In this article, we extend the concept of the Aboodh transform to the solution of partial differential equations of fractional order using Caputo's fractional derivative.
Kacem Belghaba +1 more
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Numerical Analysis of Iterative Fractional Partial Integro-Differential Equations
Journal of Mathematics, 2022 Many nonlinear phenomena are modeled in terms of differential and integral equations. However, modeling nonlinear phenomena with fractional derivatives provides a better understanding of processes having memory effects.
Hayman Thabet +2 more
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Solution for Second-Order Differential Equation Using Least Square Method
Eurasian Journal of Science and Engineering, 2022 This paper studies the numerical method for solving differential equations. The continuous least square method (CLSM) is used to obtain the explicit solution for solving ordinary differential equations (ODEs), partial differential equations (PDEs), and ...
Salisu Ibrahim, Abdulnasir Isah
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Numerical Approximation of Partial Differential Equations [PDF]
, 1994 This book deals with the numerical approximation of partial differential equations. Its scope is to provide a thorough illustration of numerical methods, carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of
QUARTERONI, ALFIO MARIA, A. Valli
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On spectral numerical method for variable-order partial differential equations
AIMS Mathematics, 2022 In this research article, we develop a powerful algorithm for numerical solutions to variable-order partial differential equations (PDEs). For the said method, we utilize properties of shifted Legendre polynomials to establish some operational matrices ...
Kamal Shah +3 more
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Complexity, 2020 The role of integer and noninteger order partial differential equations (PDE) is essential in applied sciences and engineering. Exact solutions of these equations are sometimes difficult to find.
Hijaz Ahmad +4 more
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Fractal and Fractional, 2022 Probabilistic machine learning and data-driven methods gradually show their high efficiency in solving the forward and inverse problems of partial differential equations (PDEs).
Wei Gu, Wenbo Zhang, Yaling Han
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AIMS Mathematics, 2019 The one dimension Legendre Wavelet is a numerical method to solve one dimension equation. In this paper Black-Scholes equation (B-S), that has applied via single asset American option and Heston Cox- Ingersoll- Ross equation (HCIR), as partial ...
Jafar Biazar, Fereshteh Goldoust
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