Results 11 to 20 of about 10,875,163 (358)

Statistical analysis of differential equations: introducing probability measures on numerical solutions. [PDF]

Stat Comput, 2017
In this paper, we present a formal quantification of uncertainty induced by numerical solutions of ordinary and partial differential equation models.
Conrad PR, Girolami M, Särkkä S, Stuart A, Zygalakis K.   +4 more
europepmc   +2 more sources

Heat transfer from a constant heat source to the plate surface: An analytical solution [PDF]

E3S Web of Conferences, 2023
This paper proposes an analytical solution to the thermoelasticity problem for a plate heated by a source with a constant heat input on one surface. Numerous comparisons were made between the results obtained on the basis of the analytical solution and ...
Kucheva N.A.
doaj   +1 more source

Snow Phenology and Hydrologic Timing in the Yukon River Basin, AK, USA

Remote Sensing, 2021
The Yukon River basin encompasses over 832,000 km2 of boreal Arctic Alaska and northwest Canada, providing a major transportation corridor and multiple natural resources to regional communities.
Caleb G. Pan, Peter B. Kirchner, John S. Kimball, Jinyang Du, Michael A. Rawlins   +4 more
doaj   +1 more source

Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator

Mathematical methods in the applied sciences, 2021
In this research study, fuzzy fractional differential equations in presence of the Atangana–Baleanu–Caputo differential operators are analytically and numerically treated using extended reproducing kernel Hilbert space technique.
Omar Abu Arqub, Jagdev Singh, Banan Maayah, Mohammed Alhodaly   +3 more
semanticscholar   +1 more source

New Numerical and Analytical Solutions for Nonlinear Evolution Equations Using Updated Mathematical Methods

Mathematics, 2023
This study explores adapted mathematical methods to solve the couple-breaking soliton (BS) equations in two-dimensional spatial domains. Using these methods, we obtained analytical soliton solutions for the equations involving free parameters such as the
Abdulghani R. Alharbi
doaj   +1 more source

The Quantitative Features Analysis of the Nonlinear Model of Crop Production by Hybrid Soft Computing Paradigm

Agronomy, 2022
In this study, we provide a discretized system of a continuous dynamical model for enhancing crop production in the presence of insecticides and insects. Crops are assumed to grow logistically but are limited by an insect population that entirely depends
Muhammad Sulaiman, Muhammad Umar, Kamsing Nonlaopon, Fahad Sameer Alshammari   +3 more
doaj   +1 more source

Wavelet Numerical Solutions for a Class of Elliptic Equations with Homogeneous Boundary Conditions

Mathematics, 2021
This paper focuses on a method to construct wavelet Riesz bases with homogeneous boundary condition and use them to a kind of second-order elliptic equation.
Jinru Wang, Wenhui Shi, Lin Hu
doaj   +1 more source

Flow and heat transfer analysis on micropolar fluid through a porous medium between a clear and Al2O3−Cu/H2O in conducting field

Frontiers in Materials, 2023
The current study is focused on the flow of micropolar liquid in a saturated permeable medium sandwiched between clear and hybrid nanofluid filled in an inclined channel, with radiation and dissipation effects. Copper and Aluminium oxide nanoparticles is
T. N. Tanuja, L. Kavitha, S. V. K. Varma, Umair Khan, Umair Khan, El-Sayed M. Sherif, Ahmed M. Hassan, Ioan Pop, K. Sarada, Harjot Singh Gill   +9 more
doaj   +1 more source

New Numerical Approach of Solving Highly Nonlinear Fractional Partial Differential Equations via Fractional Novel Analytical Method

Fractal and Fractional, 2022
In this work, the fractional novel analytic method (FNAM) is successfully implemented on some well-known, strongly nonlinear fractional partial differential equations (NFPDEs), and the results show the approach’s efficiency.
Mariam Sultana, Uroosa Arshad, Abdel-Haleem Abdel-Aty, Ali Akgül, Mona Mahmoud, Hichem Eleuch   +5 more
doaj   +1 more source

Hybrid Nanofluid Radiative Mixed Convection Stagnation Point Flow Past a Vertical Flat Plate with Dufour and Soret Effects

Mathematics, 2022
The widespread application of hybrid nanofluid in real applications has been accompanied by a large increase in computational and experimental research.
Nur Syahirah Wahid, Norihan Md Arifin, Najiyah Safwa Khashi’ie, Ioan Pop, Norfifah Bachok, Mohd Ezad Hafidz Hafidzuddin   +5 more
doaj   +1 more source