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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema…
Xiuli Lin, Zengqin Zhao, Yongliang Guan
In this paper, we apply the iterative technology to establish the existence of solutions for a fractional boundary value problem with q -difference. Explicit iterative sequences are given to approxinate the solutions and the error estimations are also given.
Maria B. Pintarelli, 1 1
We considerer parabolic partial differential equations under the conditions on a region . We will see that we can write the equation in partial derivatives as an Fredholm integral equation of first kind and will solve this latter with the techniques of invers…
José M. Sautto, Agustín Santiago, Carlos N. Bouza, Verónica Campos
This paper presents a brief demonstration of Schulz’s first conjecture, which sets the upper and lower limits on the length of the shortest chain of addition. Two methods of the upper limit are demonstrated; the second one is based on the algorithm of one of…
Şükran Uygun
In this study, we first give the definitions of ( s , t )-Jacobsthal and ( s , t )-Jacobsthal Lucas sequence. By using these formulas we define ( s , t )-Jacobsthal and ( s , t )-Jacobsthal Lucas matrix sequences. After that we establish some sum formulas for…
Shunji Horiguchi
This paper gives the extension of Newton’s method, and a variety of formulas to compare the convergences for the extension of Newton’s method (Section 4). Section 5 gives the numerical calculations. Section 1 introduces the three formulas obtained from the cu…
Gérard Degan, Christian Akowanou, Latif Fagbemi, Joël Zinsalo
The effects of hydrodynamic anisotropy on the mixed-convection in a vertical porous channel heated on its plates with a thermal radiation are investigated analytically for fully developed flow regime. The porous medium is anisotropic in permeability whose pri…
Abdulrahman Ndanusa, Khadeejah James Audu
In this paper, we propose two new explicit Almost Runge-Kutta (ARK) methods, ARK3 (a three stage third order method, i.e. , s = p = 3) and ARK34 (a four-stage third-order method, i.e. , s = 4, p = 3), for the numerical solution of initial value problems (IVPs…
Laura Parisi, Igor Gianfrancesco, Camillo Giliberto, Paolo Giudici
Monetary policies, either actual or perceived, cause changes in monetary interest rates. These changes impact the economy through financial institutions, which react to changes in the monetary rates with changes in their administered rates, on both deposits a…
Anil Kumar Nishad, Shiva Raj Singh
This paper is comprised of the modeling and optimization of a multi objective linear programming problem in fuzzy environment in which some goals are fractional and some are linear. Here, we present a new approach for its solution by using α-cut of fuzzy numb…
Haishan Han, Yuan Li
The existence condition of the solution of special nonlinear penalized equation of the linear complementarity problems is obtained by the relationship between penalized equations and an absolute value equation. Newton method is used to solve penalized equatio…
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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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