Results 11 to 20 of about 2,135 (188)

Quasilinearization method for an impulsive integro-differential system with delay

Mathematical Biosciences and Engineering, 2022
In this paper, we obtain solution sequences converging uniformly and quadratically to extremal solutions of an impulsive integro-differential system with delay. The main tools are the method of quasilinearization and the monotone iterative.
Bing Hu, Zhizhi Wang , Minbo Xu , Dingjiang Wang   +3 more
doaj   +1 more source

Quasilinearized Semi-Orthogonal B-Spline Wavelet Method for Solving Multi-Term Non-Linear Fractional Order Equations

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
doaj   +1 more source

Computational Fluid Dynamics for Cavity Natural Heat Convection: Numerical Analysis and Optimization in Greenhouse Application

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, Menglong Zhang, Jianwu Xiong, Gang Mao, Yicong Qi, Onur Alp Ilhan   +5 more
wiley   +1 more source

Integrated Stochastic Investigation of Singularly Perturbed Delay Differential Equations for the Neuronal Variability Model

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, Syed Ibrar Hussain, Hira Ilyas, Layouni Zoubir, Mariam Javed, Muhammad Asif Zahoor Raja, Vasudevan Rajamohan   +6 more
wiley   +1 more source

Numerical Investigation of MHD Carreau Nanofluid Flow with Nonlinear Thermal Radiation and Joule Heating by Employing Darcy–Forchheimer Effect over a Stretching Porous Medium

International Journal of Differential Equations, Volume 2023, Issue 1, 2023., 2023
Heat transfer in fluid mechanisms has a stronghold in everyday activities. To this end, nanofluids take a leading position in the advent of the betterment of thermal conductivity. The present study examines numerical investigations of incompressible magnetohydrodynamic (MHD) flow of Carreau nanofluid by considering nonlinear thermal radiation, Joule ...
Endale Ersino Bafe, Mitiku Daba Firdi, Lemi Guta Enyadene, Davood D. Ganji   +3 more
wiley   +1 more source

Two‐point boundary value problems at resonance

Mathematical Modelling and Analysis, 2009
Consider two‐point boundary value problems of resonance type x″ +x = f(t, x, x′), x(0) = x(π) = 0. We investigate existence and multiplicity of solutions to such problems by using the quasilinearization process.
Inara Yermachenko
doaj   +1 more source

A Novel Multivariate Spectral Local Quasilinearization Method (MV‐SLQLM) for Modelling Flow, Moisture, Heat, and Solute Transport in Soil

Journal of Applied Mathematics, Volume 2023, Issue 1, 2023., 2023
Conventionally, the problem of studying the transport of water, heat, and solute in soil or groundwater systems has been numerically solved using finite difference (FD) or finite element (FE) methods. FE methods are attractive over FD methods because they are geometrically flexible.
Elias Mwakilama, Vusi Magagula, Duncan Gathungu, Theodore E. Simos   +3 more
wiley   +1 more source

Entropy Generation and Regression Analysis of Magnetohydrodynamic Stagnation Point Flow of a Casson Fluid with Radiative and Dissipative Heat Transfer and Hall Effects

Mathematical Problems in Engineering, Volume 2023, Issue 1, 2023., 2023
The phenomenon of heat transfer is prevalent in industries and has an extensive range of applications. However, mostly the discussion of heat transfer problems is limited to the study of the first law of thermodynamics, which deals with energy conservation.
Prashu, Raj Nandkeolyar, Premful Kumar, Vivek Kumar Sinha, Vivek Sangwan, Amer Rasheed   +5 more
wiley   +1 more source

Assessment of Haar Wavelet-Quasilinearization Technique in Heat Convection-Radiation Equations

Applied Computational Intelligence and Soft Computing, 2014
We showed that solutions by the Haar wavelet-quasilinearization technique for the two problems, namely, (i) temperature distribution equation in lumped system of combined convection-radiation in a slab made of materials with variable thermal conductivity
Umer Saeed, Mujeeb ur Rehman
doaj   +1 more source

Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

Abstract and Applied Analysis, 2014
A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is ...
Umer Saeed, Mujeeb ur Rehman
doaj   +1 more source