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Convergence of a collocation scheme for a retarded potential integral equation [PDF]
, 2003 Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). Solving such equations numerically is both complicated and computationally intensive, and numerical methods often prove to ...
Duncan, D.B.
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Journal of King Saud University: Engineering Sciences, 2005 A new moving collocation method is introduced for solving the problem of time-dependent heat conduction with source term in one dimension. The method is based on dividing the solution domain into active and inactive zones. The numerical results show that
M.A. Soliman, K.I. Al-Humaizi
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Applicability of spline collocation to cordial volterra equations
Mathematical Modelling and Analysis, 2013 We study the applicability of the standard spline collocation method, on a uniform grid, to linear Volterra integral equations of the second kind with the so-called cordial operators; these operators are noncompact and the applicability of the ...
Teresa Diogo, Gennadi Vainikko
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Results in Physics, 2023 A Hermite based block method (HBBM) is proposed for the numerical solution of second-order non-linear elliptic partial differential equations (PDEs). The development of the method was accomplished through the methodology of interpolation and collocation ...
Emmanuel Oluseye Adeyefa +2 more
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Spectral collocation methods [PDF]
Applied Numerical Mathematics, 1989 This is a survey article on the application of spectral collocation methods to the solution of partial differential equations. For the most part, the basis functions used are either trigonometric or Chebyshev polynomials, although there is some discussion of Legendre polynomials.
Hussaini, M. Y. +2 more
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Solution of a system of delay differential equations of multi pantograph type
Journal of Taibah University for Science, 2017 A collocation method is proposed to obtain an approximate solution of a system of multi pantograph type delay differential equations with variable coefficients subject to the initial conditions.
Sara Davaeifar, Jalil Rashidinia
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Alexandria Engineering Journal, 2017 The aim of this article was to apply collocation method for boundary layer flow of an Eyring-Powell fluid over a stretching sheet in unbounded domain. The collocation method combined with a special technique, has been successfully applied for nonlinear ...
J. Rahimi +3 more
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The Effect of Using Input Enhancement Technique on Collocation Learning of Iraqi EFL Students
الأستاذ, 2022 Collocation can be defined as two or sometimes more than two words that often go together for example, impose punishment, do homework, and save money.
م.د نغم جعفر مجيد
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Modified Chebyshev Collocation Method for Solving Differential Equations
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2015 This paper presents derivation of alternative numerical scheme for solving differential equations, which is modified Chebyshev (Vieta-Lucas Polynomial) collocation differentiation matrices.
M Ziaul Arif +2 more
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Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method
مجلة بغداد للعلوم, 2020 Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is ...
Nahdh S. M. Al-Saif, Ameen Sh. Ameen
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