Results 21 to 30 of about 23,892 (265)
Results in Applied Mathematics, 2022 The present work is devoted to developing two numerical techniques based on fractional Bernstein polynomials, namely fractional Bernstein operational matrix method, to numerically solving a class of fractional integro-differential equations (FIDEs).
M.H.T. Alshbool +3 more
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On one method for analytical solution of Graetz–Nusselt problem
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 An approximate analytic solution of heat transfer problem for fluid flow in a circular tube is found using the method of separation of variables, based on the introduction of additional boundary conditions.
A. V. Eremin, N. M. Budylnikov
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International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we study initial value problems for coupld second order delay differential equations with variable coefficients. By means of the application of the method of steps and the method of Frobenius, the exact solution of the problem is ...
R. J. Villanueva +2 more
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Quantum decay model with exact explicit analytical solution [PDF]
Physical Review A, 2009 4 pages, 3 ...
Marchewka, Avi, Granot, Er'el
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A methodological approach to solving the Korteweg–de Vries equation in its various forms
Scientific AfricanThe Korteweg-de Vries (KdV) equation, an evolution-type nonlinear partial differential equation (PDE), describes the propagation of solitary water waves as observed in the literature.
Francis Tuffour +3 more
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New Soliton Solutions for the Higher-Dimensional Non-Local Ito Equation
Nonlinear Engineering, 2021 In this article, (2+1)-dimensional Ito equation that models waves motion on shallow water surfaces is analyzed for exact analytic solutions. Two reliable techniques involving the simplest equation and modified simplest equation algorithms are utilized to
Inc Mustafa +5 more
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Exact Closed-Form Solution for the Oscillator with a New Type of Mixed Nonlinear Restitution Force
Mathematics, 2023 This paper shows an oscillator with a spring made of material where the stress is a function not only of strain but also strain rate. The corresponding restitution force is of strong nonlinear monomial type and is the product of displacement and velocity
Livija Cveticanin
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Exact analytical solutions of second order conformal hydrodynamics [PDF]
Physical Review D, 2014 We present some exact solutions of relativistic second-order hydrodynamic equations in theories with conformal symmetry. Starting from a spherically expanding solution in ideal hydrodynamics, we take into account general conformal second-order corrections, and construct, for the first time, fully analytical axisymmetric exact solutions including the ...
Hatta, Yoshitaka +2 more
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Approximate Analytic Solution for the KdV and Burger Equations with the Homotopy Analysis Method
Journal of Applied Mathematics, 2012 The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of the Korteweg-de Vries (KdV) and Burgers equations. The homotopy analysis method (HAM) is an analytic technique which provides us with a new way to obtain series ...
Mojtaba Nazari +3 more
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Accelerated HPSTM: An efficient semi-analytical technique for the solution of nonlinear PDE’s
Nonlinear Engineering, 2020 In this paper a novel technique i.e. accelerated homotopy perturbation Sumudu transformation method (AHPSTM), which is a hybrid of accelerated homotopy perturbation method and Sumudu transformation to obtain an approximate analytic solution of nonlinear ...
Grover Deepak +2 more
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