Numerical Laplace Transformation Methods for Integrating Linear Parabolic Partial Differential Equations by Edgard NGOUNDA Thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Applied Mathematics at the University of Stellenbosch Applied Mathematics, Department of Mathematical Sciences University of Stellenbosch Private Bag X1, 7602 Matieland, South Africa Supervisor: Professor J.A.C Weideman January 2009