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On solving systems of multi-pantograph equations via spectral tau method

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  • Ezz-Eldien, S.S.

Abstract

The current manuscript focuses on solving systems of multi-pantograph equations. The spectral tau method is applied for solving systems of multi-pantograph equations with shifted Jacobi polynomials as basis functions. The convergence analysis of the proposed technique is also investigated. We introduced the numerical solutions of some test problems and compared the obtained numerical solutions of such problems with those given using different numerical methods.

Suggested Citation

  • Ezz-Eldien, S.S., 2018. "On solving systems of multi-pantograph equations via spectral tau method," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 63-73.
    • Handle: RePEc:eee:apmaco:v:321:y:2018:i:c:p:63-73
    DOI: 10.1016/j.amc.2017.10.014
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    References listed on IDEAS

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    1. Ahmad, Iftikhar & Mukhtar, Areej, 2015. "Stochastic approach for the solution of multi-pantograph differential equation arising in cell-growth model," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 360-372.
    2. Cheng, Xue & Chen, Zhong & Zhang, Qingpu, 2015. "An approximate solution for a neutral functional–differential equation with proportional delays," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 27-34.
    3. Nili Ahmadabadi, M. & Laeli Dastjerdi, H., 2016. "Tau approximation method for the weakly singular Volterra–Hammerstein integral equations," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 241-247.
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    Cited by:

    1. Izadi, Mohammad & Srivastava, H.M., 2021. "An efficient approximation technique applied to a non-linear Lane–Emden pantograph delay differential model," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    2. Khalid, Nauman & Abbas, Muhammad & Iqbal, Muhammad Kashif, 2019. "Non-polynomial quintic spline for solving fourth-order fractional boundary value problems involving product terms," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 393-407.
    3. Sabir, Zulqurnain & Raja, Muhammad Asif Zahoor & Guirao, Juan L.G. & Saeed, Tareq, 2021. "Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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