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Fractional differential equations and Volterra–Stieltjes integral equations of the second kind
In this paper, we construct a method to find approximate solutions to fractional differential equations involving fractional derivatives with respect...
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On the Generalization of Some Hermite–Hadamard Inequalities for Functions with Convex Absolute Values of the Second Derivatives Via Fractional Integrals
We provide a unified approach to getting Hermite–Hadamard inequalities for functions with convex absolute values of the second derivatives via the...
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On Convergence of Multidimensional Workload with Dominant Service Duration to a Stable Process
A service system model introduced by I. Kai and M. S. Takku is considered. A limit theorem on the convergence of finite-dimensional distributions of...
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Hermite–Hadamard-type inequalities via different convexities with applications
In this paper, we explore a class of Hermite–Hadamard integral inequalities for convex and m -convex functions. The Hölder inequality is used to...
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Nonlinear Dynamic Modelling for the Novel Inverse-Pendulum Wave Energy Converter with a Constant-Pressure Hydraulic Power Take-off
Novel inverse-pendulum wave energy converter (NIPWEC) is an optional oscillating wave surge converter. It utilizes an adjustable internal mass to...
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Modeling assessment on the influences of physiographic dynamics of landscape and micro-climatic conditions at Siffu-Mallig Watershed in the Philippines
Changes in watershed characteristics influence its physical features including the overall hydrologic and climatologic processes which can be of high...
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Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes
We propose a positivity-preserving finite volume scheme on non-conforming quadrilateral distorted meshes with hanging nodes for subdiffusion...
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Numerical Algorithms
We begin our journey into the world of scientific computing. The most basic building block of any numerical computing library is a series of...
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A Review of Different Approaches for Boundary Shear Stress Assessment in Prismatic Channels
The stress range of shear at the channel's boundaries has a direct bearing on the flow of fluid inside the channel. Hence, understanding it is...
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Quadratures with Superpower Convergence
AbstractIt is suggested that changing the variables of integration in quadrature calculations greatly improves the accuracy of the rule of means. The...
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On the Maximal Distance Between the Centers of Mass of a Planar Convex Body and Its Boundary
We prove that the length of the projection of the vector joining the centers of mass of a convex body on the plane and of its boundary to an...
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Regularized Reconstruction of the Order in Semilinear Subdiffusion with Memory
For \(\nu \in (0,1)\), we analyze the semilinear integro-differential equation onKrasnoschok, M. Pereverzyev, S. Siryk, S. V. Vasylyeva, N. the...
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Expansions on Quadrature Formulas and Numerical Solutions of Ordinary Differential Equations
Todorov, Venelin Dimitrov, Yuri Miryanov, Radan Dimov, Ivan Poryazov, StoyanThis paper is a continuation of the discussion on optimization of the...
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The Characteristics of Mathematical Methods in the Wu Cao Suan**g and Its Social Background
From the third century to the seventh century CE, mathematics in ChinaChina [Chinese] developed rapidly. However, this developmentEvolution (linear)...
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Roman Mathematics
Since the Romans built enormous aqueducts, fortresses, port facilities, border walls, and bridges throughout the empire – from Scotland to the...
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Comparison of intramyocellular lipid metabolism in patients with diabetes and male athletes
Despite opposing insulin sensitivity and cardiometabolic risk, both athletes and patients with type 2 diabetes have increased skeletal myocyte fat...
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A High-Order Method with a Temporal Nonuniform Mesh for a Time-Fractional Benjamin–Bona–Mahony Equation
The solution of a time-fractional differential equation often exhibits a weak singularity near the initial time. It makes classical numerical methods...
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A High Order Numerical Method for Solving Nonlinear Fractional Differential Equation with Non-uniform Meshes
We introduce a high-order numerical method for solving nonlinear fractional differential equation with non-uniform meshes. We first transform the...
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Quantitative Behavior Of Non-Integrable Systems. IV
In this paper, there are two sections. In Section 7, we simplifythe eigenvalue-based surplus shortline method for arbitrary finite...