Trent University Graduate Thesis Collection

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    Solving Differential and Integro-Differential Boundary Value Problems using a Numerical Sinc-Collocation Method Based on Derivative Interpolation

    Year: 2020, 2020
    Member of: Trent University Graduate Thesis Collection
    Name(s): Creator (cre): Ross, Glen Charles, Thesis advisor (ths): Abdella, Kenzu, Degree committee member (dgc): Pollanen, Marco, Degree granting institution (dgg): Trent University
    Abstract: <p>In this thesis, a new sinc-collocation method based upon derivative interpolation is developed for solving linear and nonlinear boundary value problems involving differential as well as integro-differential equations. The sinc-collocation method is chosen for its ease of implementation, exponential convergence of error, and ability to handle to singularities in the BVP. We present a… more