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Original Articles

Hartley series approximations for the parabolic equations

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Pages 1149-1156 | Received 22 Nov 2004, Published online: 19 Aug 2006

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Imran Talib, Cemil Tunc & Zulfiqar Ahmad Noor. (2019) New operational matrices of orthogonal Legendre polynomials and their operational. Journal of Taibah University for Science 13:1, pages 377-389.
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Mahmood Dadkhah & Kamal Mamehrashi. (2021) Numerical solution of time-delay optimal control problems by the operational matrix based on Hartley series. Transactions of the Institute of Measurement and Control 44:6, pages 1344-1355.
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MAYS BASIM, NORAZAK SENU, ZARINA BIBI IBRAHIM, ALI AHMADIAN & SOHEIL SALAHSHOUR. (2021) A ROBUST OPERATIONAL MATRIX OF NONSINGULAR DERIVATIVE TO SOLVE FRACTIONAL VARIABLE-ORDER DIFFERENTIAL EQUATIONS. Fractals 30:01.
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Reza Dehghan. (2018) A numerical solution of variable order fractional functional differential equation based on the shifted Legendre polynomials. SeMA Journal 76:2, pages 217-226.
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Neeraj Kumar Tripathi. (2018) Shifted Legendre Operational Matrix for Solving Fractional Order Lane–Emden Equation. National Academy Science Letters 42:2, pages 139-145.
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A. M. Kawala. (2018) Numerical Solution for Initial and Boundary Value Problems of Fractional Order. Advances in Pure Mathematics 08:12, pages 831-844.
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Abbas Saadatmandi & Mehdi Dehghan. (2010) A new operational matrix for solving fractional-order differential equations. Computers & Mathematics with Applications 59:3, pages 1326-1336.
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Abbas Saadatmandi & Mehdi Dehghan. (2010) Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. Numerical Methods for Partial Differential Equations 26:1, pages 239-252.
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Aysegül Akyüz-Dascioglu. (2009) Chebyshev polynomial approximation for high-order partial differential equations with complicated conditions. Numerical Methods for Partial Differential Equations 25:3, pages 610-621.
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