Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE, S. E. Mikhailov
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Exact solutions of some nonlinear evolution equations via the first integral method
The first integral method can be used to construct exact traveling wave solutions of nonlinear partial differential equations. In this work, we explore new application of this method to some special nonlinear partial differential equations.
N. Taghizadeh +2 more
doaj +1 more source
Current Status and Challenges in Data Collection for Aerospace Coatings Deposited by Plasma Spraying
An innovative approach has been integrated into the GRENAT project to optimize plasma spraying and coating performance. Raw materials are accelerated and melted in the plasma generated by torches, creating coatings. Monitoring sensors collect process data which are combined with ex situ characterization data.
Lila Randriamananjara +8 more
wiley +1 more source
Numerical modelling of some systems in the biomedical sciences [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.Finite-difference numerical methods are developed for the solution of some systems in the biomedical sciences; namely, a predator-prey model and the SEIR ...
Al-Showaikh, F.N.M., Al-Showaikh, Faisal
core
Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]
Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
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We propose a new method called the fractional reduced differential transform method (FRDTM) to solve nonlinear fractional partial differential equations such as the space-time fractional Burgers equations and the time-fractional Cahn-Allen equation.
Mahmoud S Rawashdeh
doaj +1 more source
Optimization of the Production of Rubber Compounds Using Mathematical Models
Rubber compounds were mixed in a batch internal mixer, and symbolic regression was used to derive mathematical models linking recipe and process parameters to ram path, torque, and mixing quality (incorporation, dispersion, distribution). Subsequent optimization with evolutionary algorithms identified operating conditions that reduce specific energy ...
Anke Bardehle +7 more
wiley +1 more source
Regularity results for nonlocal fully nonlinear elliptic equations [PDF]
Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
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Resolving the multitude of microscale interactions accurately models stochastic partial differential equations [PDF]
Constructing numerical models of noisy partial differential equations is a very delicate task. Our long-term aim is to use modern dynamical systems theory to derive discretisations of dissipative stochastic partial differential equations.
Roberts, A., Roberts, A. J.
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A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source

