Search Results - modified method of variable separation*

A modified method of variable separation for the problem of TE wave diffraction on a diffraction grating with two-layer lines in the period by Smirnov, Yu. G., Martynova, V. Yu

“… Such optical structures are employed in spectral beam combining. The diffraction problem was solved by a modified method of variable separation, which requires the solution…”
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Study of diffraction efficiency of diffraction gratings by the modified method of variables separation by Smirnov, Yu.G., Martynova, V.Yu, Moskaleva, M.A., Tsupak, A.A.

“… Material and methods. The problem is solved using the modified method of separation of variables…”
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Exact solution of system of nonlinear fractional partial differential equations by modified semi-separation of variables method by Asiedu, Henry Kwasi, Barnes, Benedict, Dontwi, Isaac Kwame, Darkwah, Kwaku Forkuoh

“… The semi-separation of variables method (S-SVM) is a recent and reliable analytic method that has not been applied to obtain…”
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Re-study on localized structures based on variable separation solutions from the modified tanh-function method by Wang, Yue-Yue, Zhang, Yu-Peng, Dai, Chao-Qing

“…We derive variable separation solutions of the ( 1 + 1 )-dimensional KdV-type model by means of the modified tan h -function method with three different ansätz…”
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MODIFIED METHOD OF SEPARATION OF VARIABLES FOR SOLVING DIFFRACTION PROBLEMS ON MULTILAYER DIELECTRIC GRATINGS by Smirnov, Yu. G., Martynova, V. Yu, Moskaleva, M. A., Tikhonravov, A. V.

“…A modified method of separation of variables is proposed for solving the direct problem of diffraction of electromagnetic wave by multilayer dielectric gratings (MDG…”
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A Stabilized Separation of Variables Method for the Modified Biharmonic Equation by Askham, T.

“… We develop a separation of variables representation for this equation in polar coordinates, for either the interior or exterior of a disk, and derive a new class of special functions which makes the approach stable…”
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Analytical solutions of multi-term time fractional differential equations and application to unsteady flows of generalized viscoelastic fluid by Ming, Chunying, Liu, Fawang, Zheng, Liancun, Turner, Ian, Anh, Vo

“… By using a modified separation of variables method, the governing fractional-order partial differential equations are transformed into a set of fractional-order ordinary differential equations…”
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A modified method for separating variables in the diffraction problem of TM-polarized wave on diffraction grating by Smirnov, Yuriy

“… Materials and methods. To solve the problem, a modified method of separation of variables is used. Results…”
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Discussions on localized structures based on equivalent solution with different forms of breaking soliton model by Zhang, Bin, Zhang, Xue-Long, Dai, Chao-Qing

“…Although the modified tanh-function method was proposed to construct variable separation solutions many years ago, two important issues have not been emphasized: (1…”
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Study on membrane performance in vapor permeation of VOC/N2 mixtures via modified constant volume/variable pressure method by Yang, Wenchao, Zhou, Haoli, Zong, Chuanxin, Li, Yuxue, Jin, Wanqin

“…[Display omitted] •A modified constant volume/variable pressure method was developed…”
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Analytical solutions for the fractional nonlinear cable equation using a modified homotopy perturbation and separation of variables methods by Irandoust-Pakchin, S., Javidi, M., Kheiri, H.

“… Then, we solve obtained problems with separation method. In examples, we illustrate that the exact solution is obtained in one iteration by convenience separating of source…”
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Analytical solution of a fractional differential equation in the theory of viscoelastic fluids by Saghali, S., Saei, F.D., Javidi, M., Rad, M.J.

“…) of an incompressible generalized Oldroyd-B fluid with fractional derivatives of Caputo type. Using a modification of the method of separation of variables the main equation…”
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Optimization of parameters of multilayer diffraction gratings using needle variations by Martynova, Valeriya, Smirnov, Yuriy, Tikhonravov, Aleksandr

“… Material and methods. Needle variations are used to optimize diffraction efficiency. Results. Computational experiments were performed, which showed that the addition…”
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Computationally Efficient Algorithm for Designing Multilayer Dielectric Gratings by Smirnov, Yu. G., Martynova, V. Yu, Wei, Zeyong, Cheng, Xinbin, Tikhonravov, A. V.

“…) is developed based on the previously proposed modified method of separation of variables for solving direct problem of diffraction of electromagnetic waves by MDG structures…”
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Analytical Solution of a Fractional Differential Equation in the Theory of Viscoelastic Fluids by Saghali, Sahar, Javidi, Mohammad, Saei, Farhad Dastmalchi

“… Using a modification of the method of separation of variables the main equation with non-homogeneous boundary conditions is transformed into an equation with homogeneous boundary conditions…”
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Analytical solutions for the fractional nonlinear telegraph equation using a modified homotopy perturbation and separation of variables methods by Kheiri, H, Irandoust-Pakchin, S, Javidi, M

“… Then, the obtained problems are solved with separation method. In the examples, it is illustrated that the exact solution is obtained in one iteration by conveniently separating…”
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New variable separation solutions and nonlinear phenomena for the (2+1)-dimensional modified Korteweg–de Vries equation by Liang, Yueqian, Wei, Guangmei, Li, Xiaonan

“…Variable separation approach, which is a powerful approach in the linear science, has been successfully generalized to the nonlinear science as nonlinear variable separation methods. The (2 + 1…”
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Time-fractional classical Black-Scholes option pricing model via He-separation of variable transformation method for exact solutions by Edeki, S. O., Akinlabi, G. O., Egara, F. O., Nzeadibe, A. C.

“…). The HSVTM combines the basic properties of the He's polynomials, the Homo-separation variable, the modified DTM, which increases the efficiency and effectiveness of the proposed method…”
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A stabilized separation of variables method for the modified biharmonic equation by Askham, Travis

“… We develop a separation of variables representation for this equation in polar coordinates, for either the interior or exterior of a disk, and derive a new class of special functions which makes the approach stable…”
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Notes on the equivalence of different variable separation approaches for nonlinear evolution equations by Dai, Chao-Qing, Wang, Yue-Yue

“…•Note on the equivalence of extended projective Ricatti equation method and multilinear variable separation approach…”
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