Exponential B-Spline Solution of Convection-Diffusion Equations

  title={Exponential B-Spline Solution of Convection-Diffusion Equations},
  author={Reza Mohammadi},
We present an exponential B-spline collocation method for solving convection-diffusion equation with Dirichlet’s type boundary conditions. The method is based on the Crank-Nicolson formulation for time integration and exponential B-spline functions for space integration. Using the Von Neumann method, the proposed method is shown to be unconditionally stable. Numerical experiments have been conducted to demonstrate the accuracy of the current algorithm with relatively minimal computational… CONTINUE READING
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