Results 11 to 20 of about 1,690 (203)
International Journal of Mathematics and Mathematical SciencesIn this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
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A New Parameter-Uniform Discretization of Semilinear Singularly Perturbed Problems
Mathematics, 2022 In this paper, we present a numerical approach to solving singularly perturbed semilinear convection-diffusion problems. The nonlinear part of the problem is linearized via the quasilinearization technique.
Justin B. Munyakazi, Olawale O. Kehinde
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Mathematics, 2020 In the present article, we implement a new numerical scheme, the quasilinearized semi-orthogonal B-spline wavelet method, combining the semi-orthogonal B-spline wavelet collocation method with the quasilinearization method, for a class of multi-term non ...
Can Liu, Xinming Zhang, Boying Wu
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An Efficient Numerical Method to Solve the Boundary Layer Flow of an Eyring-Powell Non-Newtonian Fluid [PDF]
Journal of Applied and Computational Mechanics, 2019 In this paper, the boundary layer flow of an Eyring-Powell non-Newtonian fluid over a linearly stretching sheet is solved using the combination of the quasilinearization method and the Fractional order of Rational Chebyshev function (FRC) collocation ...
Mehdi Delkhosh +2 more
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Mathematics, 2023 In this paper, we developed a new variational iteration method using the quasilinearization method and Adomian polynomial to solve nonlinear differential equations.
Vikash Kumar Sinha, Prashanth Maroju
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Virtual element method for quasilinear elliptic problems [PDF]
IMA Journal of Numerical Analysis, 2019 Abstract A virtual element method for the quasilinear equation $-\textrm{div} ({\boldsymbol \kappa }(u)\operatorname{grad} u)=f$ using general polygonal and polyhedral meshes is presented and analysed. The nonlinear coefficient is evaluated with the piecewise polynomial projection of the virtual element ansatz.
Cangiani A. +3 more
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Generalized quasilinearization method for nonlinear functionaldifferential equations [PDF]
International Journal of Stochastic Analysis, 2002 The authors investigate a nonlinear initial value problem for the functional-differential equation \(x'= f(t,x_t)\), \(t\in [0,T]\), with \(x_t(s)= x(s+ t)\), \(-\tau\leq s\leq 0\), \(t\in [-\tau,T]\), \(\tau> 0\), \(f\in C[J\times\Gamma, \mathbb{R}]\) and \(\Gamma= C[[-\tau, 0],\mathbb{R}]\).
Ahmad, Bashir +2 more
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Advances in Mathematical Physics, Volume 2023, Issue 1, 2023., 2023 Natural convection in cavity plays a significant role in energy‐related field, including the indoor heat transfer analysis in greenhouse with integrated PV roof. In this study, mathematical model is established for two‐dimensional heat transfer analysis in greenhouse air cavity, with numerical simulation through computational fluid dynamics (CFD). Main
Yin Zhang +5 more
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International Journal of Intelligent Systems, Volume 2023, Issue 1, 2023., 2023 The proposed research utilizes a computational approach to attain a numerical solution for the singularly perturbed delay differential equation (SPDDE) problem arising in the neuronal variability model through artificial neural networks (ANNs) with different solvers. The log‐sigmoid function is used to construct the fitness function. The implementation
Iftikhar Ahmad +6 more
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Quasilinearization method for finite systems of nonlinear RL fractional differential equations [PDF]
Opuscula Mathematica, 2020 In this paper the quasilinearization method is extended to finite systems of Riemann-Liouville fractional differential equations of order \(0\lt q\lt 1\).
Zachary Denton, Juan Diego Ramírez
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