APPROXIMATELY SINGULAR WAVELET by V. M. Romanchak

“…The universal algorithm of approximation makes it possible to apply it to approximate one-dimensional and multidimensional functions, in decision support systems, in the processing of stochastic information, pattern recognition, and solution of boundary-value problems.The introduction explain the idea of the method of singular wavelets – to combine the theory of wavelets with the Nadaraya-Watson kernel regression estimator. …”
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Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation Method by Mubashir Qayyum, Imbsat Oscar

“…The least squares homotopy perturbation method (LSHPM) has been proposed to determine the solutions of nonlinear boundary value problems. To check the validity and convergence of the proposed scheme (LSHPM), the modeled problems are also solved with the Fehlberg–Runge–Kutta method (RKF45) and homotopy perturbation method (HPM) and residual errors are compared with LSHPM. …”
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Variable-Time-Domain Online Neighboring Optimal Trajectory Modification for Hypersonic Interceptors by Ningbo Li, Humin Lei, Jin Zhou, Lei Shao, Bin Wang

“…A trajectory optimization model is designed according to the features of operations in near space. Two-point boundary value problems (TPBVPs) are obtained based on NOC theory. …”
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Influence of Surface Energy Effects on Elastic Fields of a Layered Elastic Medium under Surface Loading by Supakorn Tirapat, Teerapong Senjuntichai, Jaroon Rungamornrat

“…This paper presents the analysis of a layered elastic half space under the action of axisymmetric surface loading and the influence of the surface energy effects. The boundary value problems for the bulk and the surface are formulated based on classical linear elasticity and a complete Gurtin-Murdoch constitutive relation. …”
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Exploring the Novel Continuum-Cancellation Leal-Method for the Approximate Solution of Nonlinear Differential Equations by Hector Vazquez-Leal

“…Furthermore, we present the application of CCLM in several examples: Thomas–Fermi singular equation for the neutral atom, magnetohydrodynamic flow of blood in a porous channel singular boundary-valued problem, and a system of initial condition differential equations to model the dynamics of cocaine consumption in Spain. …”
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A Multiregion Discrete-Time Epidemic Model of Mycobacterium tuberculosis Infections: An Optimal Control Approach by Rachid Bouajaji, Hassan Laarabi, Mostafa Rachik, Abdelhadi Abta

“…The numerical results associated with the multipoint boundary value problems are obtained based on the forward-backward sweep method combined with progressive-regressive Runge–Kutta fourth-order schemes.…”
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Micromechanics of Cracked Laminates under Uniaxial Load: A Comparison between Approaches by J. A. Rivera-Santana, A. Guevara-Morales, U. Figueroa-López

“…Afterwards, these boundary value problems (BVP) are solved in order to obtain a stress function which couples the initial and perturbation stresses, the latter being in function of crack density, thus related to material stiffness reduction. …”
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Ciliary peristalsis flow of hydromagnetic Sutterby nanofluid through symmetric channel: Viscous dissipation in case of variable electrical conductivity by Sameh A. Hussein, Sameh E. Ahmed, Anas A.M. Arafa

“…The problem-solving strategy depends on first transforming the system into a dimensionless form, after which using the lubrication approximation, the evolving boundary value problems has been normalized and linearized form. …”
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A Study of the Occurrence of Resonance under the Influence of Dynamic Forces on the Structural Elements of Electrical Installations by Y. V. Potachits

“…To solve these problems, mathematical models are compiled and boundary value problems are formulated for calculating the electrodynamic stability of structural elements, taking into account the possible coincidence of the frequencies of natural and forced oscillations of structural elements taking into account the probable coincidence of the frequencies of forced and natural vibrations of structural elements.…”
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