General Letters in Mathematics

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A Fourth Order Difference Method For a Nonlinear Elliptic PDEs in Two Dimension Space

P. K. Pandey

In this article, we have presented a novel high order difference method for solving nonlinear elliptic equations with constant coefficients in two dimensions Cartesian coordinate system subject to Dirichlet boundary conditions. The present fourth order method based on the exponential techniques. The method ...

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Lacunary Interpolation Using Quartic B-Splin

Karwan Hama Faraj Jwamer , Bzhar Jamal

In this paper, a quadratic B-Spline has been constructed that is an approximate solution to a function with very limited given lacunary data and approximate boundary conditions. Then the error bound for the B-spline is found. Further this construction is used to solve boundary value problem.

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QSPR Analysis of Degree-Based Topological Indices with physical properties of Benzenoid Hydrocarbons

Rachanna Kanabur , Vijayalaxmi Shigehalli

Benzenoid hydrocarbons are condensed polycyclic unsaturated fully conjugated hydrocarbons composed exclusively of six membered rings. Benzenoid system may be represented by different kinds of graphs. Each hexagon of a benzenoid or coronoid system may be represented by a single vertex. In this paper, ...

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Applications of Homotopy Perturbation Transform Method for Solving Newell-Whitehead-Segel Equation

Mohamed Zellal , Kacem Belghaba

In the present work, we apply an analytical method known as Homotopy Perturbation Transform Method, is used for solving Newell-Whitehead-Segel Equation. Five tests are examined to validate the accuracy of this algorithm. Numerical results show that the proposed method is a more reliable, efficient and ...

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Existence Solutions of the Complex Linear Differential Equations in QK,ω(p,q) Spaces

A. Kamal , T.I. Yassen

In this article, we study the existence of solutions of the complex linear differential equation of the form f(n) + An−1(z)f(n−1) + ... + A1(z)f0 + A0(z)f = 0, where the coefficients A0,A1,...,An are analytic functions in the unit disc. To carry out the existence of these solutions, we obtain ...

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Hyers-Ulam-Rassias Stability Criteria of Nonlinear Differential Equations of Lane-Emden Type

Maher Nazmi Qarawani

In this paper we establish Hyers-Ulam-Rassias stability and Hyers-Ulam Criteria for second order non-linear ordinary differential equations of Lane-Emden type; moreover two examples of such equations are considered.

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Numerical Solution for Solving Fractional Differential Equations using Shifted Chebyshev Wavelet

Mohamed Elarabi Benattia , Belghaba Kacem

In this paper, we are interested to develop a numerical method based on the Chebyshev wavelets for solving fractional order differential equations (FDEs). As a result of the presentation of Chebyshev wavelets, we highlight the operational matrix of the fractional order derivative through wavelet-polynomial ...

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Some Extensions on Cerone's Generalizations of Steffensen’s Inequality

Atta Abu Hany , Mahmoud Al Agha

This paper provides more extensions on Cerone's generalizations of Steffensen’s inequality with bounds involving any two subintervals. Moreover, we introduce some applications for integral mean.

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(∈, ∈ ∨q)- Fuzzy Hemirings and (∈¯, ∈ ∨¯ ¯q)- Fuzzy Hemirings

Md. Yasin Ali , Kanak Ray Chowdhury , Abeda Sultana , Nirmal Kanti Mitra

In this paper, using “belongingness (∈) ” and quasi-coincidence (q) ” of fuzzy points and" fuzzy sets, the concept of (∈, ∈ ∨q) -fuzzy hemirings and (∈¯, ∈ ∨¯ ¯q) -fuzzy hemirings have been introduced and some of its properties have been ...

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Multiple Homoclinic Solutions for a Class of Superquadratic Fourth-order Differential Equations

Mohsen Timoumi

Applying a Symmetric Mountain Pass Theorem, we prove the existence of infinitely many homoclinic solutions for a class of fourth-order differential equations u(4)(x) + ωu00(x) + a(x)u(x) = f(x,u(x)), ∀x ∈R where a ∈ C(R,R) may be negative on a bounded interval and F(x,u) =Ru 0 f(x,t)dt ...

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