Results 51 to 60 of about 15,655 (167)
A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
The Scientific World Journal, 2014 We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations.
Özkan Güner, Adem C. Cevikel
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Nonlinear ordinary differential equations in fluid dynamics
American Journal of Physics, 2011 The equivalence between nonlinear ordinary differential equations (ODEs) and linear partial differential equations (PDEs) was recently revisited by Smith, who used the equivalence to transform the ODEs of Newtonian dynamics into equivalent PDEs, from which analytical solutions to several simple dynamical problems were derived.
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Nonlinear Engineering, 2017 Present exploration discusses the combined effect of viscous dissipation and Joule heating on three dimensional flow and heat transfer of a Jeffrey nanofluid in the presence of nonlinear thermal radiation.
Ganesh Kumar K. +3 more
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Complex nonlinear ordinary differential equations and geometry
Journal of Physics: Conference Series, 2006 This paper is a study of global properties of complex nonlinear second order Differential equations. We uncover a purely local expression, known since the late 19th Century, and easy to compute in examples, and prove that it determines whether the solutions of such an equation close up as topological spheres.
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Contribution to Speeding-Up the Solving of Nonlinear Ordinary Differential Equations on Parallel/Multi-Core Platforms for Sensing Systems. [PDF]
Sensors (Basel), 2020 Tavakkoli V +3 more
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Soliton solutions to the time-dependent coupled KdV–Burgers’ equation
Advances in Difference Equations, 2019 In this article, the authors apply the Lie symmetry approach and the modified (G′/G) $( G'/G )$-expansion method for seeking the solutions of time-dependent coupled KdV–Burgers equation.
Aisha Alqahtani, Vikas Kumar
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New Solutions to Nonlinear Ordinary Differential Equations
Advances in Pure Mathematics, 2011 In contrast to the Euler method and the subsequent methods, we provide solutions to nonlinear ordinary differential equations. Consequently, our method does not require convergence. We apply our method to a second-order nonlinear ordinary differential equation ODE. However, the method is applicable to higher order ODEs.
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Nonlinear methods in solving ordinary differential equations
Journal of Computational and Applied Mathematics, 1976 AbstractSome one step methods, based on nonpolynomial approximations, for solving ordinary differential equations are derived, and numerically tested. A comparison is made with existing methods.
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An Iterative Finite Difference Method for Solving Nonlinear Gordon-Type Problems
MathematicsThis paper introduces an enhanced Iterative Finite Difference (IFD) method for efficiently solving strongly nonlinear, time-dependent problems. Extending the original IFD framework for nonlinear ordinary differential equations, we generalize the approach
Mohamed Ben-Romdhane, Helmi Temimi
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Exact solution of nonlinear ordinary differential equations
, 2020 At present, only some special differential equations have explicit analytical solutions. In general, no one thinks that it is possible to analytically find the exact solution of nonlinear equations. In this article based on the idea that the numerical scheme with zero truncation error can give rise to exact solution, a general formula for the exact ...
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