Search Results - "Shah, Farooq Ahmed"

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  1. 1

    Quadrature based innovative techniques concerning nonlinear equations having unknown multiplicity by Shah, Farooq Ahmed, Waseem, Muhammad

    Published in Examples and counterexamples (01-12-2024)
    “…Solution of nonlinear equations is one of the most frequently encountered issue in engineering and applied sciences. Most of the intricateed engineering…”
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    Journal Article
  2. 2

    Neural network design for cubic autocatalysis chemical processes, the flow of a Darcy‐Forchheimer viscous fluid is optimized for entropy by Shah, Farooq Ahmed, Raja, Muhammad Asif Zahoor, Shoaib, Muhammad, Zamir, Tayyab, Ihsan, Adil

    “…In this article, neural network backpropagation (NNBP) is used to present two‐dimensional Darcy‐Forchheimer viscous fluid (DFVF) of viscous liquid against a…”
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    Journal Article
  3. 3

    Modification of Adomian decomposition technique in multiplicative calculus and application for nonlinear equations by Shah, Farooq Ahmed, Waseem, Muhammad, Mikhaylov, Alexey, Pinter, Gabor

    “…•The order of convergence is how quickly the method converges to the solution.•ADM has demonstrated rapid convergence of solutions.•Multiplicative iterative…”
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  4. 4

    Generalized and novel iterative scheme for best approximate solution of large and sparse augmented linear systems by Alomair, Abdullah Mohammed, Shah, Farooq Ahmed, Ahmed, Khaleel, Waseem, Muhammad

    Published in Heliyon (15-08-2024)
    “…This article presents a generalized novel iterative technique for obtaining the approximate solution of systems of linear equations(ABBT0)(xy)=(pq). Parameters…”
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    Journal Article
  5. 5

    A generalized iterative scheme with computational results concerning the systems of linear equations by Nonlaopon, Kamsing, Shah, Farooq Ahmed, Ahmed, Khaleel, Farid, Ghulam

    Published in AIMS mathematics (2023)
    “…In this article, a new generalized iterative technique is presented for finding the approximate solution of a system of linear equations $ Ax = b $. The…”
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  6. 6

    Generalization of Some Fractional Integral Operator Inequalities for Convex Functions via Unified Mittag–Leffler Function by Nonlaopon, Kamsing, Farid, Ghulam, Yasmeen, Hafsa, Shah, Farooq Ahmed, Jung, Chahn Yong

    Published in Symmetry (Basel) (01-05-2022)
    “…This paper aims to obtain the bounds of a class of integral operators containing Mittag–Leffler functions in their kernels. A recently defined unified…”
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  7. 7

    Higher Order Numerical Approaches for Nonlinear Equations by Decomposition Technique by Alharbi, Abdulghani Ragaa, Faisal, Muhammed Imran, Shah, Farooq Ahmed, Waseem, Muhammad, Ullah, Roman, Sherbaz, Saira

    Published in IEEE access (2019)
    “…In this paper, a unique decomposition technique is implemented along with an auxiliary function for the best implementation. Some new and efficient techniques…”
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    Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations by Shafiq, Muhammad Arsalan, Faisal, Imran, Darus, Maslina, Shah, Farooq Ahmed

    Published in Discrete dynamics in nature and society (01-01-2017)
    “…Various problems of pure and applied sciences can be studied in the unified framework of nonlinear equations. In this paper, a new family of iterative methods…”
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  11. 11

    Some numerical methods for solving nonlinear equations by using decomposition technique by Shah, Farooq Ahmed, Noor, Muhammad Aslam

    Published in Applied mathematics and computation (15-01-2015)
    “…In this paper, we use the system of coupled equations involving an auxiliary function together with decomposition technique to suggest and analyze some new…”
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    Journal Article
  12. 12

    Higher order iterative schemes for nonlinear equations using decomposition technique by Shah, Farooq Ahmed, Noor, Muhammad Aslam

    Published in Applied mathematics and computation (01-09-2015)
    “…In this paper, we suggest and analyze some unique recurrence relations which can generate different classes of iterative methods for solving nonlinear…”
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  15. 15

    Some second-derivative-free sixth-order convergent iterative m ethods for non-linear equations by Shah, Farooq Ahmed, Noor, Muhammad Aslam, Waseem, Muhammad

    “…We use the variational iteration technique to suggest some new iterative methods for solving non-linear equations f (x) = 0. We discuss the convergence…”
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  16. 16

    Variational iteration technique for solving nonlinear equations by Noor, Muhammad Aslam, Shah, Farooq Ahmed

    Published in Journal of applied mathematics & computing (01-09-2009)
    “…In this paper, we use the variational iteration technique to suggest some new iterative methods for solving nonlinear equations f ( x )=0. We also discuss the…”
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    Journal Article