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Zhongguo Dianji Gongcheng Xuebao (Proceedings of the Chinese Society of Electrical Engineering), ISSN 0258-8013, 12/2005, Volume 25, Issue 25, pp. 285 - 288
ZD model atomizer performs well in CWS combustion. In order to meet the optimization requirement of such a kind atomizer in industrial utilization, it's needed... 
Journal Article
Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering, ISSN 0258-8013, 2005, Volume 25, pp. 285 - 288
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2018, Volume 333, pp. 382 - 394
The purpose of this paper is to present a uniform finite difference method for the numerical solution of a second order singularly perturbed delay differential... 
Finite difference scheme | Error estimates | Piecewise-uniform mesh | Delay differential equation | Singular perturbation | SCHEME | MATHEMATICS, APPLIED | SYSTEMS | LAYER BEHAVIOR | SHIFTS | Analysis | Methods | Differential equations
Journal Article
Journal of Physics and Chemistry of Solids, ISSN 0022-3697, 10/2018, Volume 121, pp. 1 - 7
Zn-doped Fe3O4 can be used as a catalyst in the photo-Fenton process to degrade dye molecules dissolved in water, in which cluster-shaped Zn-doped Fe3O4... 
Nanoparticles | Zn-doped Fe3O4 | Growth mechanism | Photo-Fenton activity | Zn-doped Fe | PHYSICS, CONDENSED MATTER | ORANGE II | MECHANISM | FERRITE | CATALYST | ADSORPTION | CHEMISTRY, MULTIDISCIPLINARY | FACILE SYNTHESIS | CLUSTERS | HETEROGENEOUS FENTON | PHOTOCATALYTIC PERFORMANCE | ZNFE2O4 NANOPARTICLES
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 07/2018, Volume 336, pp. 1 - 7
In this paper a two-point boundary value problem with a Caputo fractional derivative is considered. By using a shooting method based on the secant iterative... 
integral–differential equation | Boundary value problem | Shooting method | Caputo fractional derivative | Convergence analysis | MATHEMATICS, APPLIED | integral-differential equation | CALCULUS | EQUATIONS | Methods | Differential equations
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 11/2015, Volume 270, pp. 136 - 141
For integers k ≥ 1 and n ≥ 0, the functions 1/(1−λeαt)k and the derivatives (1/(1−λeαt))(n) can be expressed each other by linear combinations. Based on this... 
Tangent number | Closed formula | Higher-order derivative | Trigonometric function | Hyperbolic function | POLYNOMIALS | MATHEMATICS, APPLIED | TANGENT NUMBERS | IDENTITIES | STIRLING NUMBERS
Journal Article
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 12/2017, Volume 315, pp. 445 - 452
This paper is devoted to giving a rigorous numerical analysis for a fractional differential equation with order α ∈ (0, 1). First the fractional differential... 
Fractional differential equation | Adapted mesh | Volterra integral equation | Caputo fractional derivative | Convergence analysis | MATHEMATICS, APPLIED | TIME RANDOM-WALKS | SPLINE COLLOCATION | BOUNDARY-VALUE-PROBLEMS | Numerical analysis | Analysis | Methods | Differential equations
Journal Article
Fuel, ISSN 0016-2361, 07/2017, Volume 200, pp. 134 - 145
•Effects of water droplet humidification on electric agglomeration were examined.•A novel sampling method was developed for agglomerated particle... 
Electric agglomeration | Fly ash | Electrostatic precipitator | Particle charging | PM2.5 | AEROSOL-PARTICLES | AIRBORNE PARTICULATE MATTER | ENERGY & FUELS | FIELD | BIPOLAR | FLOW | ENGINEERING, CHEMICAL | ADHESION | SUBMICRON PARTICLES | COAGULATION | Water | Air quality management | Analysis
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 08/2017, Volume 320, pp. 176 - 192
A second-order initial value problem with a small parameter multiplying the first- and second-order derivatives is considered. The precise knowledge about the... 
Uniform convergence | Difference scheme | Shishkin mesh | Singular perturbation | Initial value problem | SYSTEM | Uhiform convergence | MATHEMATICS, APPLIED | NUMERICAL-METHOD | BOUNDARY-VALUE-PROBLEMS
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 04/2018, Volume 75, Issue 8, pp. 2874 - 2887
In this paper a time-fractional Black–Scholes equation is examined. We transform the initial value problem into an equivalent integral–differential equation... 
Fractional differential equation | Singularity | Adapted mesh | Black–Scholes equation | Option valuation | AMERICAN | MATHEMATICS, APPLIED | FINITE-VOLUME METHOD | SPLINE COLLOCATION | ERROR ANALYSIS | Black-Scholes equation | DOUBLE-BARRIER OPTIONS | Analysis | Differential equations
Journal Article
Functional Materials Letters, ISSN 1793-6047, 02/2019, Volume 12, Issue 1
Zn-doped Fe3O4 has been employed as a catalyst for the photo-Fenton process. At the present study, the influence of Zn content in the Zn-doped Fe3-xO4 on the... 
Photo-Fenton performance | rhodamine B | catalytic activity | Zn-doped Fe | Zn-doped Fe3O4 | MATERIALS SCIENCE, MULTIDISCIPLINARY
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 04/2014, Volume 260, pp. 201 - 207
Guo and Qi (2013) posed a problem asking to determine the coefficients ak,i−1 for 1≤i≤k such that 1/(1−e−t)k=1+∑i=1kak,i−1(1/(et−1))(i−1). The authors answer... 
Fubini number | Faà di Bruno’s formula | Apostol–Bernoulli number | Exponential function | Stirling number | Explicit expression | Apostol-Bernoulli number | Faà di Bruno's formula | Q-ANALOG | MATHEMATICS, APPLIED | Faa di Bruno's formula | APOSTOL-BERNOULLI | DI-BRUNOS FORMULA | Exponential functions | Mathematical models | Computation | Mathematical analysis | Combinatorial analysis
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 04/2019, Volume 90, pp. 79 - 85
A reaction–diffusion problem with a Caputo time derivative is considered. An integral discretization scheme on a graded mesh along with a decomposition of the... 
Fractional differential equation | Singularity | Graded mesh | Caputo derivative | MATHEMATICS, APPLIED
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2008, Volume 221, Issue 1, pp. 174 - 182
In this paper we consider a singularly perturbed quasilinear boundary value problem depending on a parameter. The problem is discretized using a hybrid... 
Uniform convergence | Parameterized problem | Midpoint difference scheme | Singular perturbation | Shishkin meshes | MATHEMATICS, APPLIED | Singular perturbations | Parameterized problems
Journal Article
Journal of Number Theory, ISSN 0022-314X, 11/2017, Volume 180, pp. 360 - 372
Let r≠0 and s≠0 be two given real numbers. Chen [7] (2016) obtained recursive relation for determining the coefficients aj(r,s) such... 
Euler–Mascheroni constant | Cycle indicator polynomial | Asymptotic expansion | Psi function | GENERATED APPROXIMATION | MATHEMATICS | Euler-Mascheroni constant | INEQUALITIES | SERIES | GAMMA FUNCTION | GENERALIZED STIRLING FORMULA
Journal Article
Environmental Pollution, ISSN 0269-7491, 11/2018, Volume 242, Issue Pt B, pp. 1266 - 1273
Ambient ozone is one of the most important air pollutants with respect to its impacts on human health and its increasing concentrations globally. However,... 
Ozone | Economic loss estimation | Chronic obstructive pulmonary disease | Years of life lost | SOUTHERN CHINA | METRICS | CITIES | AMBIENT AIR-POLLUTION | ENVIRONMENTAL SCIENCES | PREMATURE MORTALITY | DAILY MORTALITY | HEALTH | ASSOCIATION | EXPOSURE | COPD | Medical research | Lung diseases, Obstructive | Analysis | Environmental aspects | Medicine, Experimental | Air pollution | Rivers
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2015, Volume 252, pp. 229 - 239
In this paper we apply a hybrid finite difference scheme to evaluate the prices of Asian call options with fixed strike price. We use the Crank–Nicolson method... 
Central difference method | Midpoint upwind scheme | Asian option | Partial differential equation | Crank–Nicolson method | Crank-Nicolson method | MATHEMATICS, APPLIED | NUMERICAL-SOLUTION | Pricing | Operators | Approximation | Discretization | Mathematical analysis | Mathematical models | Asian | Strikes | Finite difference method
Journal Article
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