An Efficient Method for Solving Spread Option Pricing Problem: Numerical Analysis and Computing by R. Company, V. N. Egorova, L. Jódar

“…This paper deals with numerical analysis and computing of spread option pricing problem described by a two-spatial variables partial differential equation. Both European and American cases are treated. …”
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On the spectrum of a stationary problem with nonlocal integral type boundary condition by Sigita Pečiulytė, Olga Štikonienė, Artūras Štikonas

“… We investigated a eigenvalue problem for simple second order ordinary differential equation with one inte­gral type nonlocal boundary condition. …”
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Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition by Deniz Agirseven

“…Finite difference and homotopy analysis methods are used for the approximate solution of the initial-boundary value problem for the delay parabolic partial differential equation with the Dirichlet condition. The convergence estimates for the solution of first and second orders of difference schemes in Hölder norms are obtained. …”
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Pulsation Calculation of Cylindrical Underwater Gas Explosion Products in Well by A. M. Sheiko, V. V. Ivashechkin, V. V. Veremenuk

“…The paper considers a mathematical model of pulsation process of cylindrical underwater gas explosion products in the well at gas-impulse regeneration filters. A differential equation of the second-order with constant coefficients has been derived. …”
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Bifurcations of Tumor-Immune Competition Systems with Delay by Ping Bi, Heying Xiao

“…A tumor-immune competition model with delay is considered, which consists of two-dimensional nonlinear differential equation. The conditions for the linear stability of the equilibria are obtained by analyzing the distribution of eigenvalues. …”
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Necessary and Sufficient Conditions of Optimality for a Damped Hyperbolic Equation in One-Space Dimension by Ismail Kucuk, Kenan Yildirim

“…The present paper deals with the necessary optimality condition for a class of distributed parameter systems in which the system is modeled in one-space dimension by a hyperbolic partial differential equation subject to the damping and mixed constraints on state and controls. …”
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Unified Treatment of a Class of Spherically Symmetric Potentials: Quasi-Exact Solution by H. Panahi, M. Baradaran

“…We illustrate that all models give rise to the same basic differential equation, which is expressible as an element of the universal enveloping algebra of sl(2). …”
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New Results on the Noise Figure of HEMTs by M. A. Grado Caffaro, M. Grado Caffaro

“…The fundamental relationship that gives minimum noise figure is derived from a first-order linear partial differential equation, which is established by assuming reasonable statements based on experience.…”
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The stability of collocation methods for VIDEs of second order by Edris Rawashdeh, Dave McDowell, Leela Rakesh

“…Simplest results presented here are the stability criteria of collocation methods for the second-order Volterra integro differential equation (VIDE) by polynomial spline functions. …”
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Analytical Solution to 1D Compressible Navier-Stokes Equations by Changsheng Dou, Zishu Zhao

“…We find an interesting phenomenon on the solution to 1D compressible isentropic Navier-Stokes equations with constant viscosity coefficient on x,t∈0,+∞×R+, that is, the solutions to the initial boundary value problem to 1D compressible Navier-Stokes equations in half space can be transformed to the solution to the Riccati differential equation under some suitable conditions.…”
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Image Texture Analysis and Edge Detection Algorithm Based on Anisotropic Diffusion Equation by Xiaoqin Li

“…This paper uses partial differential equation image processing techniques to establish image texture analysis models based on nonlinear anisotropic diffusion equations for image denoising, image segmentation, and image decomposition. …”
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Well-Testing Model for Dual-Porosity Reservoir considering Stress-Sensitivity and Elastic Outer Boundary Condition by Song Chol Kim, Song Guk Han, Yong Il Song, Jin Sim Kim, Myong Gun Hong

“…To solve this model, a nonlinear partial differential equation is changed into a linear form of a partial differential equation by introducing an effective well radius and applying Pedrosa’s transformation and perturbation transformation. …”
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Calculation of cooling of building premises in emergency modes at variable outdoor temperature by O. D. Samarin

“…The Bernoulli method for the linear differential equation of the first order is applied by representing the solution as a product of two functions.Results. …”
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Analytical Method in Solving Flow of Viscoelastic Fluid in a Porous Converging Channel by M. Esmaeilpour, Naeem Roshan, Negar Roshan, D. D. Ganji

“…An analytical method, called homotopy perturbation method (HPM), is used to compute an approximation to the solution of the nonlinear differential equation governing the problem of two-dimensional and steady flow of a second-grade fluid in a converging channel. …”
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BASED ON AVERAGING METHOD ANALYSIS OF THE SINGLE DEGREE OF FREEDOM AMPLITUDE FREQUENCY by WANG ShuGuo, GUO LiFeng, LIAO PengTai, ZHANG YanBo

“…Improved averaging method was used to receive the vibration differential equation of the approximate solution, and the amplitude frequency response equation was obtained. …”
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Hydrodynamics of Underwater Gas Explosion in Half-Closed Chamber Situated in Well by V. V. Ivashechkin, V. V. Veremenuk

“…The paper considers a mathematical model for pulsation process of underwater gas explosion products in a half-close cylindrical rigid chamber during gas-impulse regeneration of filters. Second-order differential equation with constant coefficients has been derived. …”
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High-Frequency Electromagnetic Field Coupling to Small Antennae in a Rectangular Resonator by Sergey Tkachenko, Jürgen Nitsch, Moawia Al-Hamid

“…The integral-differential equation for the current of an electrically small antenna, inside a resonator, which is induced by given sources, is approximately solved by the so-called “Method of Small Antenna,” both for dipole and loop antennas. …”
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A Class of PDEs with Nonlinear Superposition Principles by Li Peng, Liu Keying, Pan Zuliang, Zhong Weizhou

“…In the end, some applications of the PDEs are explained, which shows that the result has very subtle relations with linearization of partial differential equation.…”
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A Stochastic Approach to Modeling Food Pattern by Komla Elom Adedje, Diakarya Barro

“…In this paper, we propose a fractional differential equation of order one-half, to model the evolution through time of the dynamics of accumulation and elimination of the contaminant in the human organism with a deficient immune system, during consecutive intakes of contaminated food. …”
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Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects by Wencai Zhao, Tongqian Zhang, Xinzhu Meng, Yang Yang

“…Secondly, by using geometry theory of impulsive differential equation, the existence and stability of periodic solution of the system are discussed. …”
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