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Extended State-Dependent Differential Riccati Equation (ESDDRE) Controller Design for a Chemical Plug-Flow Reactor via Time-Delay Partial Differential Equation
Numerous processes in chemical and biological engineering make use of tubular reactors. A particular kind of tubular reactor was known as a chemical...
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Partial Differential Equations
The physical systems studied thus far have been described primarily by ordinary differential equations. We are now interested in studying phenomena...
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Vibration of a Timoshenko Beam: Clarifications on Second Spectrum and Fourth-Order Single Partial Differential Equation
PurposeThis paper investigates into the existence of the second frequency spectrum of an uniform Timoshenko beam, which has been debated in the...
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Ordinary Differential Equation Solutions
In scientific research or even in everyday life and social science, some phenomena can be described by differential equations. Therefore,...
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Online video course design of elliptic partial differential equation based on image high-resolution processing
At present, the quality of online video courses in China is mixed. There are several reasons for the quality of online video courses. 1. The...
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Application of Partial Differential Equation in Digital Image Processing Technology
In order to do a good job of digital image processing through partial differential equation, this paper will carry out relevant research, mainly...
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Solving Richard’s partial differential equation via Enriched Firefly Algorithm
This paper proposes a novel technique to solve either ordinary or partial differential equations and handle their different boundary conditions. For...
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Fibonacci wavelets-based numerical method for solving fractional order (1 + 1)-dimensional dispersive partial differential equation
In this study, third-order fractional (1 + 1)-dimensional dispersive partial differential equations are numerically solved using the generalized...
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Double-Preconditioning Techniques for Fractional Partial Differential Equation Solvers
This paper is devoted to the numerical computation of the solution to stationary space fractional Partial Differential Equations (PDEs). To this end,...
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Generalized homotopy perturbation approach: an application to wave partial differential equations
In the present study, we employed an analytical technique in order to determine the approximate/exact solutions to the distinct kind of partial...
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On some direct and inverse problems for an integro-differential equation
The direct and two inverse problems defined for an integro-differential equation on a bounded domain have been considered. The spectral problem of...
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Finite-difference method for fuzzy singular integro-differential equation deriving from fuzzy non-linear differential equation
In this article, first time, a well-known equation, which can be used to analyze the behavior of the bubble formulation in the mixture of gas and...
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A spectral shifted gegenbauer collocation method for fractional pantograph partial differential equations and its error analysis
This study presents a new numerical approach for solving fractional-order pantograph partial-differential equations, in which the fractional...
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Systematic Imposition of Partial Differential Equations in Boundary Value Problems
We present a systematic approach to impose the partial differential equations of second-order boundary value problems. This is motivated by the needs...
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Solving the variable coefficient nonlinear partial differential equations based on the bilinear residual network method
In this work, a variable coefficient bilinear residual network method is proposed to solve nonlinear partial differential equations with variable...
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Physics-enhanced deep surrogates for partial differential equations
Many physics and engineering applications demand partial differential equations (PDE) property evaluations that are traditionally computed with...
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Partial Differential Equations and the Method of Characteristics
This chapter is dedicated to partial differential equations of first and second orders, treated with the method of characteristics. Examples are...
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Adaptive multi-scale neural network with Resnet blocks for solving partial differential equations
In this paper, an adaptive multi-scale neural network with Resnet blocks (adaptive-MS-Resnet) architecture is constructed for solving the Poisson...
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Distributed Control of Multi-unmanned Aerial Vehicle Circumnavigation Formation Based on Partial Differential Equations
To address the issue of acquiring the desired relative position information between individual unmanned aerial vehicle and target in multi-unmanned...
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An iterative analytic approximation for a class of nonlinear singularly perturbed parabolic partial differential equations
In this article, a closed-form iterative analytic approximation to a class of nonlinear singularly perturbed parabolic partial differential equation...
