Pure and Applied Mathematics Journal

Volume 4, Issue 6, December 2015

  • Aggregate Manpower Planning - A Goal Programming Approach

    Uday Kumar K. N., Harish Babu G. A., E. Keshava Reddy

    Issue: Volume 4, Issue 6, December 2015
    Pages: 233-236
    Received: Aug. 20, 2015
    Accepted: Aug. 31, 2015
    Published: Oct. 09, 2015
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    Abstract: The combination of a manpower supply model and objective programming with preemptive needs gives a helpful instrument to adding to a future year labor arrange under clashing Socio-economic-authoritative goals. Effective usage obliges a nearby administration inclusion in altering probabilities and indicating objectives, needs and looming approach ch... Show More
  • Weihgted Cesaro Sequence Space and Related Matrix Transformation

    Md. Fazlur Rahman, A. B. M. Rezaul Karim

    Issue: Volume 4, Issue 6, December 2015
    Pages: 237-241
    Received: Sep. 04, 2015
    Accepted: Sep. 21, 2015
    Published: Oct. 13, 2015
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    Abstract: In this paper we define the weighted Cesaro sequence spaces ces (p, q).We prove the space ces (p, q) is a complete paranorm space. In section-2 we determine its Kothe-Toeplitz dual and continuous dual. In section-3 we establish necessary and sufficient condition for a matrix A to map ces (p, q) to l_∞ and ces (p, q) to c, where l_∞ is the space of ... Show More
  • New Modification of Homotopy Perturbation Method and the Fourth - Order Parabolic Equations with Variable Coefficients

    Mohamed Elbadri, Tarig. M. Elzaki

    Issue: Volume 4, Issue 6, December 2015
    Pages: 242-247
    Received: Sep. 14, 2015
    Accepted: Sep. 21, 2015
    Published: Oct. 13, 2015
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    Abstract: In this paper, the exact solution of the fourth - order parabolic equations with variable coefficients is obtained by using a new homotopy perturbation method (NHPM), theoretical consideration are discussed. Finally, three examples are illustrated to show the validity and applicability of the proposed method.
  • On the Length of Dubins Path with Any Initial and Terminal Configurations

    Li Dai, Zheng Xie

    Issue: Volume 4, Issue 6, December 2015
    Pages: 248-254
    Received: Sep. 27, 2015
    Accepted: Oct. 08, 2015
    Published: Oct. 21, 2015
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    Abstract: Dubins has proved in 1957 that the minimum length path between an initial and a terminal configuration can be found among the six paths {LSL, RSR, LSR, RSL, RLR, LRL}. Skel and Lumelsky have studied the length of Dubins path with the initial configuration (0, 0; α) and the terminal configuration (d, 0; β) and the minimal turning radius ρ=1 in 2001.... Show More
  • Common Fixed-Point Theorems in G-complete Fuzzy Metric Spaces

    Naser Abbasi, Mahmood Shakori, Hamid Mottaghi Golshan

    Issue: Volume 4, Issue 6, December 2015
    Pages: 255-258
    Received: Sep. 25, 2015
    Accepted: Oct. 10, 2015
    Published: Oct. 22, 2015
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    Abstract: Following the approach of Gregori and Sapena, in this paper we introduced a new class of contractions and we establish some common fixed point theorems in G-complete fuzzy metric. Also a theorem on the equivalency related to completeness is given. The results are a genuine generalization of the corresponding results of Gregori and Sapena.
  • On the Finding the Other Eigenvalues and Eigen Functions and Ortogonal Basis with a Nonlocal Parity Condition of the Third Kind

    Naser Abbasi, Hamid Mottaghi Golshan, Mahmood Shakori

    Issue: Volume 4, Issue 6, December 2015
    Pages: 259-263
    Received: Sep. 22, 2015
    Accepted: Oct. 11, 2015
    Published: Oct. 24, 2015
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    Abstract: In the present paper, we find out the eigenvalues and the corresponding eigenfunctions of the modified Frankl problem with a nonlocal parity condition, the completeness and the basis property in the elliptic part of the third kind of a domain in L2(0, π/2). We also consider a new boundaries condition and analyze the orthogonal basis of the eigenfun... Show More
  • Homotopy Perturbation Transform Method for Solving Korteweg-DeVries (KDV) Equation

    Mohannad H. Eljaily, Tarig M. Elzaki

    Issue: Volume 4, Issue 6, December 2015
    Pages: 264-268
    Received: Oct. 12, 2015
    Accepted: Oct. 21, 2015
    Published: Nov. 03, 2015
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    Abstract: In this paper, a combined form of the Laplace transforms method with the homotopy perturbation method is proposed to solve Korteweg-DeVries (KDV) Equation. This method is called the homotopy perturbation transform method (HPTM). The (HPTM) finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The ... Show More
  • Weighted Fifth Degree Polynomial Spline

    Vladimir Ivanovich Pinchukov

    Issue: Volume 4, Issue 6, December 2015
    Pages: 269-274
    Received: Nov. 09, 2015
    Accepted: Nov. 20, 2015
    Published: Dec. 22, 2015
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    Abstract: Global fifth degree polynomial spline is developed. Ideas applied in the field of high order WENO (Weighted Essentially non Oscillating) methods for numerical solving compressible flow equations are used to construct interpolation which has accuracy closed to accuracy of classical cubic spline for smooth interpolated functions, and which reduces un... Show More