PARALLEL FINITE ELEMENT LAPLACE TRANSFORM METHOD FOR THE NON-EQUILIBRIUM GROUNDWATER TRANSPORT EQUATION A numerical model of a low pressure parallel plate rf glow discharge is presented based on a self-consistent formulation of the energy-momentum conservatio... G Pini,M Putti 被引量: 0发表: 199...
第三,我们建立了一个通用框架来求解由点云表示的流形上的偏微分方程,而无需参数化或连接信息,仅基于流形的局部逼近即可。最后,我们使用该框架对点云进行几何理解,包括计算Laplace-Beltrami特征值和特征函数,提取骨骼和提取共形结构。每章中的各种示例表明,我们的方法是准确,可靠和高效的。
An algorithm for solving the Burgers–Huxley equation using the Elzaki transform SN Applied sciences, 2 (1) (2020), pp. 1-17, 10.1007/s42452-019-1653-3 7 Google Scholar [16] A.M.S. Mahdy, M.M. Babatin, M.M. Khader Numerical treatment for processing the effect of convective therma...
where Π (r;s) is the Laplace transform of\(\widehat{p}\left(r,t\right)\)andsdenotes the Laplace transform variable. The new variables\(\Phi \left(z\right)\equiv \widehat{p}/{z}^{\gamma }\)and\(z=(r+R)s/c\)transform Eqs. (8) and (9) into the modified Bessel equation ...
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Alternatively, Laplace transform and inverse transform can be used to solve the problem. These methods are more complicated, and it is not easy to directly solve the deflection changes of viscoelastic material micro-beams at different times and different positions in the time domain [44]. Using ...
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Governing equation For the isotropic media, the governing equation of transient heat conduction problems with constant physical parameters can be given byk∇2T(x,t)+f(x,t)=ρc∂T(x,t)∂t,x∈Ωwhere x=(x1,x2), Laplace operator ∇2=∂2/∂(x1)2+∂2/∂(x2)2, T(x,t...
(g)∂t= C 2∂ 2 p (g)∂x 2,629 whose solution satisfying the initial and boundary conditionsp (g) = 0,∂p (g)∂t= 0 (x > 0, t = 0), p (g) = P(t) (x = 0, t > 0)can be obtained by the Laplace transform method in the form [17]p (g) (t,x) =12...
The most commonly used methods for solving non-homogeneous heat problems include the separation of variables method, the Laplace transform method, and the method of Green's functions. These methods involve breaking down the problem into simpler components and using mathematical techniques to solve for...