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M. Aslam Noor,Khalida Inayat Noor,Syed Tauseef Mohyud-Din,Noor Ahmed Shaikh 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.5
In this paper, we apply a new decomposition method for solving initial and boundary value problems, which is due to Noor and Noor [18]. The analytical results are calculated in terms of convergent series with easily computable components. The diagonal Pade approximants are applied to make the work more concise and for the better understanding of the solution behavior. The proposed technique is tested on boundary layer problem; Thomas-Fermi, Blasius and sixth-order singularly perturbed Boussinesq equations. Numerical results reveal the complete reliability of the suggested scheme. This new decomposition method can be viewed as an alternative of Adomian decomposition method and homotopy perturbation methods. In this paper, we apply a new decomposition method for solving initial and boundary value problems, which is due to Noor and Noor [18]. The analytical results are calculated in terms of convergent series with easily computable components. The diagonal Pade approximants are applied to make the work more concise and for the better understanding of the solution behavior. The proposed technique is tested on boundary layer problem; Thomas-Fermi, Blasius and sixth-order singularly perturbed Boussinesq equations. Numerical results reveal the complete reliability of the suggested scheme. This new decomposition method can be viewed as an alternative of Adomian decomposition method and homotopy perturbation methods.
INEQUALITIES FOR COORDINATED HARMONIC PREINVEX FUNCTIONS
MUHAMMAD ASLAM NOOR,Themistocles M. Rassias,Khalida Inayat Noor,SABAH IFTIKHAR 장전수학회 2017 Proceedings of the Jangjeon mathematical society Vol.20 No.4
In this paper, we introduce and investigate the co-ordinated harmonic preinvex functions. Some new Hermite-Hadamard inequalities for co-ordinated harmonic preinvex functions are derived. These new results can be viewed as significant refinement and improvement of the known results. Some special cases are discussed as applications of main results. The ideas and techniques of this paper may stimulate further research in this area.
Noor iterations for nonlinear Lipschitzian strongly accretive mappings
정재욱,M. Aslam Noor,A. Rafiq 한국수학교육학회 2004 純粹 및 應用數學 Vol.11 No.4
In this paper, we suggest and analyze Noor (three-step) iterative schemefor solving nonlinear strongly accretive operator equationTx = f. The resultsobtained in this paper represent an extension as well as renement of previousknown results.1. IntroductionLetX be a real Banach space with normk kand dual X . An operatorT withdomain D(T) and range R(T) in X is said to beaccretive(cf. Browder [1], Kato