Academic Articles & Research Papers

On the Moments and the Distribution of Aggregate Discounted Claims in a Markovian Environment

This paper studies the moments and the distribution of the aggregate discounted claims (ADCs) in a Markovian environment, where the claim arrivals, claim amounts, and forces of interest (for discounting) are influenced by an underlying Mark...

Lie Symmetry Analysis of C1m,a,b Partial Differential Equations

In this article, we discussed the Lie symmetry analysis of C1m,a,b fractional and integer order differential equations. The symmetry algebra of both differential equations is obtained and utilized to find the similarity reductions, invarian...

A case study on morphological aspects of distinct magnetized 3D hybrid nanoparticles on fluid flow between two orthogonal rotating disks: An application of thermal energy systems

The consolidation power of different nanomaterials such as metallic nanoparticles and metallic-oxides nanoparticles in a new-fangled and energetic hybrid material should give rise to fascinating properties that combine the advantages of eac...

Advanced engineering mathematics

PART A: ORDINARY DIFFERENTIAL EQUATIONS (ODE'S). Chapter 1. First-Order ODE's. Chapter 2. Second Order Linear ODE's. Chapter 3. Higher Order Linear ODE's. Chapter 4. Systems of ODE's Phase Plane, Qualitative Methods. Chapter 5. Series Solut...

Mathematical Problems in Engineering

Mathematical Problems in Engineering is a peer-reviewed, open access journal that publishes results of rigorous engineering research carried out using mathematical tools. Contributions containing formulations or results related to applicati...

The Mathematics of Financial Derivatives

Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematic...

Equations of Mathematical Physics

Mathematical physics plays an important role in the study of many physical processes - hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical phys...

Solving a class of distributed-order time fractional wave-diffusion differential equations using the generalized fractional-order Bernoulli wavelets

In this research, we propose a new numerical method for solving a class of distributed-order fractional partial differential equations, specifically focusing on distributed-order time fractional wave-diffusion equations. The method begins b...

Practical Quantum Computing

In the last few years, several quantum algorithms that try to address the problem of partial differential equation solving have been devised: on the one hand, “direct” quantum algorithms that aim at encoding the solution of the PDE by execu...

Dynamics and Control of Distributed Systems

Distributed parameter systems encompass a broad range of engineering applications from stereo speakers to space structures. The dynamic behaviour of these systems is usually governed by one or more partial differential equations, which may ...

On the controllability of distributed systems

To "control" a system is to make it behave (hopefully) according to our "wishes," in a way compatible with safety and ethics, at the least possible cost. The systems considered here are distributed-i.e., governed (modeled) by partial differ...

1. Pointwise Control for Distributed Systems

1.1. Introduction. We consider in this chapter systems modeled by Partial Differential Equations of evolution, i.e., evolution distributed systems. We suppose that we can act on the system only at some particular points, this is the so-call...

On the Itô-Stratonovich diffusion limit for the magnetic field in a 3D thin domain.

Well-posedness of a class of two-point boundary value problems associated with ordinary differential equations

Abstract This paper introduces the regular decoupling field to study the existence and uniqueness of solutions of two-point boundary value problems for a class of ordinary differential equations which can be derived from the maximum princip...

A Space-Time Partial Differential Equation Based Physics-Guided Neural Network for Sea Surface Temperature Prediction

Sea surface temperature (SST) prediction has attracted increasing attention, due to its crucial role in understanding the Earth’s climate and ocean system. Existing SST prediction methods are typically based on either physics-based numerica...

Image Segmentation Using Active Contours with Hessian-Based Gradient Vector Flow External Force

The gradient vector flow (GVF) model has been widely used in the field of computer image segmentation. In order to achieve better results in image processing, there are many research papers based on the GVF model. However, few models includ...