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Category: Number 4

Characteristic Cycles Integration on $D$-Modules to obtaining of Field Equations solutions on $\mathbb{L}$- Holomorphic Bundles

Characteristic Cycles Integration on $D$-Modules to obtaining of Field Equations solutions on $\mathbb{L}$- Holomorphic Bundles

Abstract: Considering certain derived categories on coherent $D$- modules is constructed a moduli space of equivalences between objects of a complex holomorphic bundle and a sheaf of coherent $D$- modules, which are determined for a generalized Penrose transform in the derived categories level, whose images are...

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On the Comparative study of Numerical Solution of Fourth-order Singularly Perturbed Boundary-value Problems by Initial Value Technique and Haar Wavelets

On the Comparative study of Numerical Solution of Fourth-order Singularly Perturbed Boundary-value Problems by Initial Value Technique and Haar Wavelets

Abstract: The objective of this study is to obtain numerical solution of the fourth-order singularly perturbed boundary value problem using Haar wavelet approach. The purity of the presented method has been confirmed by considering two numerical examples and also compared with the existing method. It is...

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Solute Transport in a Semi-Infinite Porous Media with Input through a Curved Line Source

Solute Transport in a Semi-Infinite Porous Media with Input through a Curved Line Source

Abstract: Analytical solutions of two-dimensional advection-dispersion equation (ADE) with variable dispersion coefficient and velocity are obtained using Laplace Transformation Technique. This paper describes the solute transport phenomena with non-point source of conservative solute in two-dimensional heterogeneous semi-infinite porous media. A rectangular form of hyperbolic curve is...

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Inclusions among some methods of summability in non-archimedean fields

Inclusions among some methods of summability in non-archimedean fields

Abstract: The aim of this paper is to prove an inclusion relations among Euler and Taylor with Abel-type matrix over the complete, Non-trivially valued and Non-archimedean field. Keywords: Complete, Non-archimedean fields, Euler method, Taylor method, Abel-Type method.   DOWNLOAD PDF     How to cite this article:...

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A modified three-point Secant method with improved rate and characteristics of convergence

A modified three-point Secant method with improved rate and characteristics of convergence

Abstract: This paper presents a modification of Secant method for finding roots of equations that uses three points for iteration instead of just two. The development of the mathematical formula to be used in the iteration process is provided together with the proof of the rate...

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On the Existence, Uniqueness, Stability of Solution and Numerical Simulations of a Mathematical Model for Measles Disease

On the Existence, Uniqueness, Stability of Solution and Numerical Simulations of a Mathematical Model for Measles Disease

Abstract: In the study, we model a measles disease using deterministic Susceptible-Exposed-Infectives-Recovered (SEIR) epidemiological model to study the prevalence and control of the measles disease in Senegal. By using measles data pertinent to Senegal , we carried out the stability of the model, established the existence...

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