Results 41 to 50 of about 5,584,987 (319)
IEEE Access, 2020 In this paper, generalization for the Lindstedt-Poincaré perturbation method for nonlinear oscillators to a class of strongly mixed-parity oscillating system is established.
W. P. Sun, C. W. Lim
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Advances in Difference Equations, 2021 Exact solutions to nonlinear differential equations play an undeniable role in various branches of science. These solutions are often used as reliable tools in describing the various quantitative and qualitative features of nonlinear phenomena observed ...
Ahmad Neirameh, Foroud Parvaneh
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A new analytical technique for strongly nonlinear damped forced systems
Ain Shams Engineering Journal, 2015 Combining the general Struble’s technique and homotopy perturbation method, an analytical technique has been presented to determine approximate solutions of strongly nonlinear differential systems with severe damping effect in the presence of an external
Md. Abdur Razzak, Md. Helal Uddin Molla
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Numerical solution of the first order nonlinear differen-tial equations with the mixed nonlinear conditions by using PLSM(comparison with Bernstein polynomials method) [PDF]
ITM Web of Conferences, 2019 We use the Polynomial Least Squares Method (PLSM), which allows us to compute analytical approximate polynomial solutions for nonlinear ordinary differential equations with the mixed nonlinear conditions.
Lăpădat Marioara +2 more
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Uniform Asymptotic Approximation Method with Pöschl–Teller Potential
Universe, 2023 In this paper, we study analytical approximate solutions for second-order homogeneous differential equations with the existence of only two turning points (but without poles) by using the uniform asymptotic approximation (UAA) method. To be more concrete,
Rui Pan +6 more
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Approximate solutions to one-phase Stefan-like problems with space-dependent latent heat
, 2020 The work in this paper concerns the study of different approximations for one-dimensional one-phase Stefan-like problems with a space-dependent latent heat. It is considered two different problems, which differ from each other in their boundary condition
Tarzia, Domingo Alberto +1 more
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Journal of Function Spaces, 2015 We apply the reproducing kernel Hilbert space (RKHS) method for getting analytical and approximate solutions for second-order hyperbolic integrodifferential equations with a weighted integral condition.
A. Guezane-Lakoud +2 more
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Journal of Applied MathematicsThe KdV-Burgers equation is one of the most important partial differential equations, established by Korteweg and de Vries to describe the behavior of nonlinear waves and many physical phenomena. In this paper, we reformulate this problem in the sense of
A. Burqan +4 more
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Approximation of solutions of linear PDE with analytic coefficients
Duke Mathematical Journal, 1983 The paper establishes an approximation formula for distribution solutions in open sets in \(R^{n+1}\) of a first-order system of homogeneous linear partial differential equations with analytic coefficients. Actually it is shown that any such solution is the limit, in the appropriate distribution sense, of a sequence of analytic solutions of the same ...
Baouendi, M. S., Treves, F.
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Approximate analytical solutions to nonlinear oscillations via semi-analytical method
Alexandria Engineering JournalA modified algebraic method is proposed in this study as an effective semi-analytical method for obtaining analytical solutions for two types of nonlinear differential equations.
Gamal M. Ismail +2 more
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