Results 61 to 70 of about 1,021 (186)

Application of Variable Step‐Size Hybrid Methods for Solving Third‐Order Lane‐Emden Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13854-13863, 30 September 2025.
ABSTRACT This manuscript introduces a pair of variable step‐size hybrid methods (PVSHM) to efficiently solve third‐order initial value problems of Lane‐Emden‐type equations (LETE). These equations are extensively used across various disciplines, including chemical engineering, fluid mechanics, physics, and astrophysics, to model a wide range of real ...
Mufutau Ajani Rufai, Thanh Tran, Bruno Carpentieri, Higinio Ramos   +3 more
wiley   +1 more source

A multi-resolution hybrid Haar wavelet collocation method for solving nonlinear partial differential equations

Ain Shams Engineering Journal
This study focuses on approximation of several types of partial differential equations with different orders (including diffusion equation, Fisher equation, Atangana-Baleanu Burger’s equation and Korteweg-de Vries (KdV) equation). A multi-resolution (MR)
Amina Iqbal, Shazia Javed, Sidra Saleem, Mohammad Nasir, Nazir Ahmad Choudhry, Dalia H. Elkamchouchi, Umid Turdialiyev, M.Ijaz Khan   +7 more
doaj   +1 more source

Atmospheric Convection and Aerosol Absorption Boost Wildfire Smoke Injection

Geophysical Research Letters, Volume 52, Issue 14, 28 July 2025.
Abstract Smoke released from increasingly severe wildfires has exerted widening impacts on the climate, ecosystem, and human life. Precisely quantifying these effects requires accurately representing smoke injection height in climate and air quality models.
Rui Xu, Yan Yu, Xianglei Meng, Huiwen Xue, Chuanfeng Zhao, Jintai Lin   +5 more
wiley   +1 more source

Modeling the one-dimensional inverse heat transfer problem using a Haar wavelet collocation approach [PDF]

مجله مدل سازی در مهندسی, 2019
In this paper, a numerical method is used to solve the one-dimensional inverse heat transfer problem, which is a combination of punctuation with wavelet collocation method and Tikhonov's method of stabilization.
Ali Jahangiri, Samira Mohammadi
doaj   +1 more source

Uncertainty quantification for problems in radionuclide transport

, 2011
The field of radionuclide transport has long recognised the stochastic nature of the problems encountered. Many parameters that are used in computational models are very difficult, if not impossible, to measure with any great degree of confidence.
Hagues, Andrew W., Hagues, Andrew W.
core   +1 more source

Scale‐Dependence of Tropical Oceanic Deep Convective Systems’ Cloud Shield Morphology to Environmental Conditions

Journal of Geophysical Research: Atmospheres, Volume 130, Issue 9, 16 May 2025.
Abstract Deep convective systems are ubiquitous over the tropical oceans and are central to the Earth radiation budget due to their upper‐level cloud shields. Possible evolution of the morphology of these cloud shields with climate change remain poorly understood.
Rémy Roca, Thomas Fiolleau, Louis Netz
wiley   +1 more source

A New Algorithm for Fractional Riccati Type Differential Equations by Using Haar Wavelet

Mathematics, 2019
In this paper, a new collocation method based on Haar wavelet is developed for numerical solution of Riccati type differential equations with non-integer order. The fractional derivatives are considered in the Caputo sense.
M. Motawi Khashan, Rohul Amin, Muhammed I. Syam   +2 more
doaj   +1 more source

Improving Planetary Boundary Layer Height Estimation From Airborne Lidar Instruments

Journal of Geophysical Research: Atmospheres, Volume 130, Issue 9, 16 May 2025.
Abstract The height of the planetary boundary layer (PBLH) influences processes such as pollutant distributions, convection, and cloud formation within the troposphere. Aerosol observables play a critical role in deriving the mixed layer height (MLH) using retrieval techniques like the Haar wavelet covariance transform (WCT), which employs gradients in
J. A. Christopoulos, P. E. Saide, R. Ferrare, B. Collister, R. A. Barton‐Grimley, A. J. Scarino, J. Collins, J. W. Hair, A. Nehrir   +8 more
wiley   +1 more source

Optimizing pantograph fractional differential equations: A Haar wavelet operational matrix method

Partial Differential Equations in Applied Mathematics
In this study, we developed an operational matrix method of integration using Haar wavelets to solve both linear and nonlinear pantograph fractional differential equations by taking Atangana's beta derivative.
Najeeb Alam Khan, Mumtaz Ali, Asmat Ara, M. Ijaz Khan, Sayfutdinovna Abdullaeva, M. Waqas   +5 more
doaj   +1 more source

Tchebychev Polynomial Approximations for $m^{th}$ Order Boundary Value Problems [PDF]

, 2014
Higher order boundary value problems (BVPs) play an important role modeling various scientific and engineering problems. In this article we develop an efficient numerical scheme for linear $m^{th}$ order BVPs.
Bhowmik, Samir Kumar
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