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Approximate Solutions of Time Fractional Kawahara Equation by Utilizing the Residual Power Series Method
In this work, the residual power series method (RPSM) is utilized for solving the time fractional Kawahara equation. Here, the fractional derivatives...
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Analytical Solutions of a Class of Fractional Lane–Emden Equation: A Power Series Method
The classical Lane-Emden equation, a nonlinear second-order ordinary differential equation, models several phenomena in mathematical physics,...
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Accuracy and Architecture Studies of Residual Neural Network Method for Ordinary Differential Equations
In this paper, we investigate residual neural network (ResNet) method to solve ordinary differential equations. We verify the accuracy order of...
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Analytical Solution for Time-fractional Cold Plasma Equations via Novel Computational Method
The main objective of this manuscript is to examine the behavior of cold plasma system governed by nonlinear fractional partial differential...
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A New Algorithm of Residual Power Series (RPS) Technique
Approximate analytic solutions of time–space fractional heat and wave equations are described. A new algorithm of Residual power series technique is...
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Generalized cumulative residual Tsallis entropy and its properties
In the literature, Shannon differential entropy has been widely used as a measure of uncertainty or dispersion. However, there exist alternative...
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Three examples of residual pathologies
Several counterexamples in analysis show the existence of some special object with some sort of pathological behavior. We present three different...
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Coupled Higgs Equation: Novel Solution via GSSE Method, Bifurcation and Chaotic Patterns and Series Solution via Symmetry
This article introduces the generalization of the Sardar sub-equation method, aiming to develop a more comprehensive approach. In GSSEM, we consider...
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Power Exponentiated Weibull Distibution: Application in Survival Rate of Cancer Patients
AbstractThis paper introduces a new distribution called the power exponentiated Weibull distribution by generalizing the Weibull distribution using...
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Finite-time model order reduction for K-power bilinear systems via shifted Legendre polynomials
In this paper, we propose a finite-time structure-preserving model reduction method based on the shifted Legendre polynomials for K-power bilinear...
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Approximate Integration of Ordinary Differential Equations Using the Chebyshev Series with Precision Control
AbstractAn approximate method of solving the Cauchy problem for canonical systems of second order ordinary differential equations is considered. The...
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Trustworthy Analytical Technique for Generating Multiple Solutions to Fractional Boundary Value Problems
Using the Laplace residual power series approach, this study establishes solutions to fractional differential equations with boundary conditions. The...
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Parameter Changes in Time Series Models
We develop in this chapter the asymptotic theory surrounding change point methods for many popular time series models. Although up to this point we...
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Efficient a Posteriori Error Control of a Concurrent Multiscale Method with Sharp Interface for Crystalline Defects
We present an efficient a posteriori error control strategy for an energy-based concurrent multiscale method with sharp interface in molecular...
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Exploring Long-Memory Process in the Prediction of Interval-Valued Financial Time Series and Its Application
Long-memory process has been widely studied in classical financial time series analysis, which has merely been reported in the field of...
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NSNO: Neumann Series Neural Operator for Solving Helmholtz Equations in Inhomogeneous Medium
In this paper, the authors propose Neumann series neural operator (NSNO) to learn the solution operator of Helmholtz equation from inhomogeneity...
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Analytical Solution of Fractional Burgers-Huxley Equations via Residual Power Series Method
This paper is aimed at constructing fractional power series (FPS) solutions of fractional Burgers-Huxley equations using residual power series method...
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Power Spectrum Unbiasing for Dilation-Invariant Multi-reference Alignment
This article discusses a generalization of the 1-dimensional multi-reference alignment problem. The goal is to recover a hidden signal from many...
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A Multiplicative Model for the Identification of Time Series Components
AbstractThis paper is devoted to a substantiation of a multiplicative model of time series decomposition based on an axiomatic approach. In this...
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Power-Aware Analog to Digital Converters
Analog to digital converters (ADCs) enable the acquisition of analog signals by representing them in a digital format. Although the architectures and...