Showing 1,561 - 1,580 results of 2,400 for search '"differential equation"', query time: 0.06s Refine Results
  1. 1561

    Lie Symmetry Analysis for the General Classes of Generalized Modified Kuramoto-Sivashinsky Equation by Rong Qi, Muhammad Mobeen Munir, Nazish Younas, Muhammad Idrees, Jia-Bao Liu

    Published 2021-01-01
    “…Lie symmetry analysis of differential equations proves to be a powerful tool to solve or at least reduce the order and nonlinearity of the equation. …”
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    Article
  2. 1562

    Infinite Horizon Optimal Control of Stochastic Delay Evolution Equations in Hilbert Spaces by Xueping Zhu, Jianjun Zhou

    Published 2013-01-01
    “…An optimal control problem of stochastic delay partial differential equations is also given as an example to illustrate our results.…”
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    Article
  3. 1563

    Approximate Solutions of Hybrid Stochastic Pantograph Equations with Levy Jumps by Wei Mao, Xuerong Mao

    Published 2013-01-01
    “…We investigate a class of stochastic pantograph differential equations with Markovian switching and Levy jumps. …”
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    Article
  4. 1564

    Exponential Fitted Operator Method for Singularly Perturbed Convection-Diffusion Type Problems with Nonlocal Boundary Condition by Habtamu Garoma Debela

    Published 2021-01-01
    “…This paper presents the study of singularly perturbed differential equations of convection-diffusion type with nonlocal boundary condition. …”
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    Article
  5. 1565

    Investigation of Two-Dimensional Viscoelastic Fluid with Nonuniform Heat Generation over Permeable Stretching Sheet with Slip Condition by Haroon Ur Rasheed, Zeeshan Khan, Saeed Islam, Ilyas Khan, Juan L. G. Guirao, Waris Khan

    Published 2019-01-01
    “…Here, in this research article, we have investigated an incompressible viscoelastic fluid flow over a uniform stretching surface sheet along with slip boundary conditions in the presence of porous media. The partial differential equations which govern the fluid flow are changed into ordinary differential equations through suitable similarity transformation variables. …”
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    Article
  6. 1566

    Nonlinear Resonance Interaction between Conjugate Circumferential Flexural Modes in Single-Walled Carbon Nanotubes by Matteo Strozzi, Francesco Pellicano

    Published 2019-01-01
    “…The Rayleigh–Ritz method is applied to approximate linear eigenfunctions of the partial differential equations that govern the shell dynamics. An energy approach, based on Lagrange equations and series expansion of the displacements, is considered to reduce the initial partial differential equations to a set of nonlinear ordinary differential equations of motion. …”
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    Article
  7. 1567

    Integral Representation of Functions of Bounded Variation by Z. Lipcsey, I. M. Esuabana, J. A. Ugboh, I. O. Isaac

    Published 2019-01-01
    “…With Bainov’s introduction of impulsive differential equations having solutions of bounded variation, this class of functions had eventually entered into the theory of differential equations. …”
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    Article
  8. 1568

    A New Numerical Procedure for Vibration Analysis of Beam under Impulse and Multiharmonics Piezoelectric Actuators by Yassin Belkourchia, Lahcen Azrar

    Published 2020-01-01
    “…Thanks to this regularization, the resulting differential equations can be directly discretized using the DQM. …”
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    Article
  9. 1569

    Stochastic control with state constraints via the Fokker–Planck equation. Application to renewable energy plants with batteries by Bermúdez, Alfredo, Padín, Iago

    Published 2024-02-01
    “…For this purpose, advantage is taken from the fact that optimal control problems for stochastic ordinary differential equations (SDE) can be equivalently formulated as optimal control problems for deterministic partial differential equations (PDE), namely, the corresponding Fokker–Planck equation.…”
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    Article
  10. 1570

    Fractional-View Analysis of Space-Time Fractional Fokker-Planck Equations within Caputo Operator by Saleh Alshammari, Naveed Iqbal, Mohammad Yar

    Published 2022-01-01
    “…The convergent series form solution demonstrates the method’s efficiency in resolving several types of fractional differential equations. Compared to other methods of finding approximate and exact solutions for nonlinear partial differential equations, this technique is more efficient and time-consuming.…”
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    Article
  11. 1571

    Fractional Cauchy Problem with Riemann-Liouville Fractional Delta Derivative on Time Scales by Jiang Zhu, Ying Zhu

    Published 2013-01-01
    “…Also the explicit solutions to homogeneous fractional Δ-differential equations and nonhomogeneous fractional Δ-differential equations are derived by using Laplace transform method.…”
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    Article
  12. 1572

    Applications of Karry-Kalim-Adnan Transformation (KKAT) to Mechanics and Electrical Circuits by Karry Iqbal, Muhammad Kalim, Adnan Khan

    Published 2022-01-01
    “…In this paper, we have used the new integral transformation known as Karry-Kalim-Adnan transformation (KKAT) to solve the ordinary linear differential equations as well as partial differential equations. …”
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    Article
  13. 1573

    Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux by I-Chung Liu, Ahmed M. Megahed

    Published 2012-01-01
    “…Similarity transformations are used to transform the governing equations to a set of coupled nonlinear ordinary differential equations. The obtained differential equations are solved approximately by the homotopy perturbation method (HPM). …”
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    Article
  14. 1574

    Lie and Riccati Linearization of a Class of Liénard Type Equations by A. G. Johnpillai, C. M. Khalique, F. M. Mahomed

    Published 2012-01-01
    “…The linearizing transformations are used to transform the underlying class of equations to linear third- and second-order ordinary differential equations, respectively. The general solution of this class of equations can then easily be obtained by integrating the linearized equations resulting from both of the linearization approaches. …”
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    Article
  15. 1575

    A new finite difference algorithm for boundary value problems involving transmission conditions by Semih Çavuşoğlu, Oktay Sh. Mukhtarov

    Published 2022-12-01
    “…The finite difference method (FDM) is used to find an approximate solution to ordinary and partial differential equations of various type using finite difference equations to approximate derivatives. …”
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    Article
  16. 1576

    Alternative models for cyclic lemming dynamics by Hao Wang, Yang Kuang

    Published 2006-10-01
    “…Many natural population growths and interactions are affected byseasonal changes, suggesting that these natural population dynamicsshould be modeled by nonautonomous differential equations instead ofautonomous differential equations. …”
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    Article
  17. 1577

    A First Application of the Backward Technique in Social Sciences: Exploring Demographic Noise in a Model with Three Personality Types by Roberto Macrelli, Margherita Carletti, Vincenzo Fano

    Published 2024-12-01
    “…Moving forward again from a continuous stochastic framework, we get to the continuous deterministic setting described by ordinary differential equations if we assume that noise can be neglected. …”
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    Article
  18. 1578

    DC Glow Discharge in Axial Magnetic Field at Low Pressures by Shen Gao, Shixiu Chen, Zengchao Ji, Wei Tian, Jun Chen

    Published 2017-01-01
    “…Results obtained from the model reveal that although the differential equations under the condition of axial magnetic field are consistent with the differential equations without considering the magnetic field, the solution of the equations is not completely consistent. …”
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    Article
  19. 1579

    Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence by R. Bonciani, V. Del Duca, H. Frellesvig, J.M. Henn, M. Hidding, L. Maestri, F. Moriello, G. Salvatori, V.A. Smirnov

    Published 2020-01-01
    “…The computation of the integrals is performed with the method of differential equations. We provide a choice of basis for the polylogarithmic sectors, that puts the system of differential equations in canonical form. …”
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    Article
  20. 1580

    Linearization: Geometric, Complex, and Conditional by Asghar Qadir

    Published 2012-01-01
    “…Lie symmetry analysis provides a systematic method of obtaining exact solutions of nonlinear (systems of) differential equations, whether partial or ordinary. Of special interest is the procedure that Lie developed to transform scalar nonlinear second-order ordinary differential equations to linear form. …”
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