Results 51 to 60 of about 1,249,069 (294)

An implicit logarithmic finite-difference technique for two dimensional coupled viscous Burgers’ equation

open access: yesAIP Advances, 2013
This article describes a new implicit finite-difference method: an implicit logarithmic finite-difference method (I-LFDM), for the numerical solution of two dimensional time-dependent coupled viscous Burgers’ equation on the uniform grid points.
Vineet K. Srivastava   +2 more
doaj   +1 more source

Efficient Solution of Burgers’, Modified Burgers’ and KdV–Burgers’ Equations Using B-Spline Approximation Functions

open access: yesMathematics, 2023
This paper discusses the application of the orthogonal collocation on finite elements (OCFE) method using quadratic and cubic B-spline basis functions on partial differential equations.
Nabendra Parumasur   +2 more
doaj   +1 more source

Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics

open access: yesAdvanced Science, EarlyView.
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet   +8 more
wiley   +1 more source

On the existence of the solution of Burgers' equation for n≤4

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
In this paper a proof of the existence of the solution of Burgers' equation for n≤4 is presented. The technique used is shown to be valid for equations with more general types of nonlinearities than is present in Burgers' equation.
Adel N. Boules
doaj   +1 more source

A new two-mode coupled Burgers equation: Conditions for multiple kink solution and singular kink solution to exist

open access: yesAin Shams Engineering Journal, 2018
In this paper, we establish new two-mode coupled Burgers’ equations which are introduced to the first time. We derive the multiple kink and singular solutions for new two-mode coupled Burgers’ equation.
H.M. Jaradat   +4 more
doaj   +1 more source

Holistic discretization ensures fidelity to Burgers' equation [PDF]

open access: yes, 2001
I analyze a generalized Burgers' equation to introduce a new method of spatial discretization. The analysis is based upon center manifold theory so we are assured that the discretization accurately models the dynamics and may be constructed ...
Roberts, A. J., A.J. Roberts
core   +1 more source

High‐Throughput Data Generation and Transfer Learning Enabled Microstructure‐Property Integrated Design of Nickel‐Based Powder Metallurgy Superalloy

open access: yesAdvanced Science, EarlyView.
An integrated transfer learning framework integrates CALPHAD simulations, diffusion‐multiple experiments, and literature data to predict long‐term microstructural stability and short‐term mechanical properties of Ni‐based powder metallurgy superalloys. Based on these model predictions, a high‐performance, low‐density alloy, USTB‐PM750, is designed from
Zixin Li   +8 more
wiley   +1 more source

Lie symmetry based-analytical and numerical approach for modified Burgers-KdV equation

open access: yesResults in Physics, 2018
In this work, the variable-coefficient modified Burgers-KdV equation, which arises in modeling various physical phenomena, is studied for exact and numerical solution based on Lie symmetry.
Vikas Kumar   +3 more
doaj   +1 more source

Linearizability of the perturbed Burgers equation [PDF]

open access: yesPhysical Review E, 1998
10 pages, RevTeX, no ...
Kraenkel, Roberto André   +2 more
openaire   +3 more sources

Development and Applications of a Magnetism‐Aware General‐Purpose Atomic Cluster Expansion Potential for the Fe‐O‐H Ternary System

open access: yesAdvanced Science, EarlyView.
Hydrogen‐driven iron oxide reduction, water‐iron corrosion, and hydrogen embrittlement of metallic iron share the same Fe‐O‐H chemistry. A general‐purpose Atomic Cluster Expansion potential covers this chemistry across the full concentration range with explicit Ising‐like treatment of magnetism.
Baptiste Bienvenu   +5 more
wiley   +1 more source

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