American Journal of Mathematical Analysis

Current Issue» Volume 2, Number 3 (2014)

Article

He-Laplace Method for the Solution of Two-point Boundary Value Problems

1Department of Mathematics, Jaypee University of Engineering & Technology, Guna-473226(M.P), India


American Journal of Mathematical Analysis. 2014, 2(3), 45-49
DOI: 10.12691/ajma-2-3-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Hradyesh Kumar Mishra. He-Laplace Method for the Solution of Two-point Boundary Value Problems. American Journal of Mathematical Analysis. 2014; 2(3):45-49. doi: 10.12691/ajma-2-3-3.

Correspondence to: Hradyesh  Kumar Mishra, Department of Mathematics, Jaypee University of Engineering & Technology, Guna-473226(M.P), India. Email: hk.mishra@juet.ac.in

Abstract

The boundary value problems of ordinary differential equations play an important role in many fields. Here, we implement the He-Laplace method for the solution of linear and nonlinear two-point boundary value problems. The aim of this paper is to compare the performance of the He-Laplace method with shooting method. As a result, for the same number of terms, our method provides relatively more accurate results with rapid convergence than other methods.

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References

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Article

Modular Relations for the Sextodecic Analogues of the Rogers-Ramanujan Functions with its Applications to Partitions

1Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore, India


American Journal of Mathematical Analysis. 2014, 2(3), 36-44
DOI: 10.12691/ajma-2-3-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
Adiga Chandrashekar, Nasser Abdo Saeed Bulkhali. Modular Relations for the Sextodecic Analogues of the Rogers-Ramanujan Functions with its Applications to Partitions. American Journal of Mathematical Analysis. 2014; 2(3):36-44. doi: 10.12691/ajma-2-3-2.

Correspondence to: Adiga  Chandrashekar, Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore, India. Email: c_adiga@hotmail.com

Abstract

In his Ph.D. thesis, C. Gugg considered four functions of order 16 that are analogues of the Rogers-Ramanujan functions and established 12 modular relations involving these functions. In this paper, we obtain 16 new modular relations for these functions. Furthermore, we give partition theoretic interpretations for some of our modular relations.

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Article

Some Identities Involving Common Factors of k-Fibonacci and k-Lucas Numbers

1School of Studies in Mathematics, Vikram University, Ujjain (India)

2College of Horticulture, Mandsaur (India)


American Journal of Mathematical Analysis. 2014, 2(3), 33-35
DOI: 10.12691/ajma-2-3-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Deepika Jhala, G.P.S. Rathore, Bijendra Singh. Some Identities Involving Common Factors of k-Fibonacci and k-Lucas Numbers. American Journal of Mathematical Analysis. 2014; 2(3):33-35. doi: 10.12691/ajma-2-3-1.

Correspondence to: Deepika  Jhala, School of Studies in Mathematics, Vikram University, Ujjain (India). Email: jhala.deepika28@gmail.com

Abstract

Fibonacci sequence stands as a kind of super sequences with fabulous properties. In this paper we present identities involving Common factors of k-Fibonacci and k-Lucas number. Also Binet’s formula will employ to this identity.

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References

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