A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative by Vildan Gülkaç

“…The Homotopy Perturbation Method is developed to find a source function for inverse diffusion problem with time-fractional derivative. …”
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SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL EQUATION METHODS

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Numerical Bichromatic Wave Generation Using Designed Mass Source Function by Min-yi Chen, Hong-sheng Zhang, En-xian Zhou, Da-li Xu

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On the Inverse Problem of the Fractional Heat-Like Partial Differential Equations: Determination of the Source Function by Gülcan Özkum, Ali Demir, Sertaç Erman, Esra Korkmaz, Berrak Özgür

“…The study in this paper mainly concerns the inverse problem of determining an unknown source function in the linear fractional differential equation with variable coefficient using Adomian decomposition method (ADM). …”
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On the source problem for the diffusion equations with conformable derivative by Van Anh Nghiem Thi, Anh Tuan Vu, Dinh Long Le, Vuong Nguyen Doan

“…In this article, we are interested in the problem of finding the source function of the diffusions equations \(\partial_{t}^\alpha - \Delta u =  f(x)\) (where \(f\) as the unknown source function and \(\alpha\in (0,1)\)). …”
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Optical Cryptanalysis Method Using Wavefront Shaping by Meihua Liao, Dajiang Lu, Wenqi He, Xiang Peng

“…In this paper, a practical optical cryptanalysis method using wavefront shaping is proposed. Considering that the confusion and diffusion of information in the optical cryptosystem are actually caused by scattering effect of random phase mask(s), the proposed method employs a point source function and the feedback-based optimization algorithm, which can obtain an equivalent key of the optical cryptosystem. …”
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Thermal Properties of Short Fibre Composites Modeled by Meshless Method by Vladimír Kompiš, Zuzana Murčinková

“…The developed method of continuous source functions is a boundary meshless method reducing the problem considerably comparing to other methods like FEM, BEM, meshless methods, or fast multipole BEM formulation.…”
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Extension of the First-Order Recursive Filters Method to Non-Linear Second-Kind Volterra Integral Equations by Rodolphe Heyd

“…Unlike most numerical methods based on the Laplace transformation, the IIRFM-A method has the dual advantage of requiring neither the calculation of the Laplace transform of the source function nor that of intermediate inverse Laplace transforms. …”
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Analysis Method for the Pouring Stage of Concrete-Filled Steel Tube (CFST) Arch Bridges Considering Time-Varying Heat of Hydration and Elastic Modulus by Mengsheng Yu, Xinyu Yao, Kaizhong Xie, Tianzhi Hao, Xirui Wang

“…Firstly, based on the composite index model of the hydration heat and through the reduction of the participating materials, the heat source function of the hydration heat of the arch rib was obtained, and its accuracy was verified by using two test components. …”
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On the stable approximate solution of the ill-posed boundary value problem for the Laplace equation with homogeneous conditions of the second kind on the edges at inaccurate data o... by Evgeniy B. Laneev, Alexander V. Klimishin

“…On the basis of an idea about the source function of the original problem, the exact solution is represented as a sum of two functions, one of which depends explicitly on the Cauchy conditions, and the second one can be obtained as a solution of the Fredholm integral equation of the first kind in the form of Fourier series on the eigenfunctions of the second boundary value problem for the Laplace equation. …”
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Comparing Different Montages of Transcranial Direct Current Stimulation in Treating Treatment-Resistant Obsessive Compulsive Disorder: A Randomized, Single-Blind Clinical Trial by Che-Sheng Chu, Yen-Yue Lin, Cathy Chia-Yu Huang, Yong-An Chung, Sonya Youngju Park, Wei-Chou Chang, Chuan-Chia Chang, Hsin-An Chang

“…<i>Methods</i>: Eighteen OCD patients were randomly assigned to receive twice-daily 2 mA/20 min sessions for 10 consecutive weekdays, with the active cathode placed on the cerebellum-OFC, bilateral pre-SMA, or OFC-pre-SMA tDCS. …”
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Microbial Community Structure and Metabolic Function in the Venom Glands of the Predatory Stink Bug, <i>Picromerus lewisi</i> (Hemiptera: Pentatomidae) by Jinmeng Li, Xu Tian, Tom Hsiang, Yuting Yang, Caihua Shi, Hancheng Wang, Wenhong Li

“…The bacterial and fungal community structure of the venom glands of <i>P. lewisi</i> exhibited high species richness and diversity, along with a strong metabolism of 22 carbon sources. Functional prediction indicated that the primary dominant function of <i>P. lewisi</i> venom-gland bacteria was metabolism. …”
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Energy­Saving Lighting of Agricultural Premises and its Parameters Calculation by L. Yu. Yuferev

“…It has been noted that the LED light sources’ functioning has such features that make the application of standard calculation methods impossible. …”
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Modelling the Formation and Propagation of Nonlinear Waves in Dynamical Systems with Sources by Meirim Amantay, Arnold Brener, Madina Balabekova, Kamil Kayumov, Akhmet Musabekov

“…The main objective of this paper is to develop a fairly general mathematical model allowing for identifying a set of parameters for controlling the propagation of nonlinear wave processes in dynamic systems with sources without specifying an explicit form of the source function. To solve the problem, the paper develops approaches based on the adaptation of methods for deriving the perturbed Korteweg-de-Vries equation taking into account the nonlocality of the response based on the Whitham integro-differential equation. …”
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Realizing depth measurement and edge detection based on a single metasurface by Yang Siwen, Wei Qunshuo, Zhao Ruizhe, Li Xin, Zhang Xue, Li Yao, Li Junjie, Jing Xiaoli, Li Xiaowei, Wang Yongtian, Huang Lingling

“…Double helix point source function is utilized, and three verification experiments are carried out, including double-helix beam calibration, 2D object and 3D object detection, respectively. …”
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Emerging roles of intratumoral microbiota: a key to novel cancer therapies by Pengzhong Fang, Jing Yang, Jing Yang, Jing Yang, Huiyun Zhang, Huiyun Zhang, Huiyun Zhang, Diankui Shuai, Min Li, Lin Chen, Liping Liu

“…This review summarizes the latest advancements in this field, including techniques and methods for identifying and culturing intratumor microbiota, their potential sources, functions, and roles in the efficacy of immunotherapy. …”
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A comprehensive review on plant protein-based food packaging: Beyond petroleum-based polymers by Subhash V. Pawde, Pimonpan Kaewprachu, Passakorn Kingwascharapong, Samart Sai-Ut, Thomas Karbowiak, Young Hoon Jung, Saroat Rawdkuen

“…This review uniquely bridges the gap between laboratory innovations and commercial applications by examining current trends in sources, functions, applications, and future commercial challenges associated with plant protein-based packaging. …”
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Inverse Source Problem for a Multiterm Time-Fractional Diffusion Equation with Nonhomogeneous Boundary Condition by L. L. Sun, X. B. Yan

“…The inverse problem is solved by the Levenberg-Marquardt regularization method, and an approximate source function is found. …”
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Investigation on the Radar Scattering and Doppler Spectrum From Trimaran Based on the Motion of Six Degrees of Freedom by Yuxin Deng, Jinxing Li, Wangqiang Jiang, Min Zhang

“…Second, an accelerated geometrical optics and physical optics algorithm using the light source function (GO-PO&#x002F;LSF) is proposed, which uses the light source function to realize the visibility judgment of surfaces and greatly reduces the computation time. …”
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The Existence of Solution of Diffusion Equation with the General Conformable Derivative by Shanshan Li, Shuqin Zhang, Ruiying Liu

“…By the maximum principle, this paper proves the uniqueness of the solution and the continuous dependence on source function and initial-boundary conditions of the solution. …”
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