... Boundary value problems on a rectangular domain can also be solved through non domain discretization techniques. These methods yield high order continuous solutions. One such method, based on Bézier functions and developed by the author, can solve linear, nonlinear, ordinary, partial, single...

... differential equations Bezier function data approximation MATLAB 1 Proceedings of the ASME 2010 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference August 15 18, 2010, Montreal, Quebec, Canada DETC2010-28486 INVERSE SOLUTION TO THE COUPLED...

... 1 Proceedings of the ASME 2008 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference August 30 September 3, 2009, San Diego, CA, USA DETC2009-86331 SOLVING INVERSE ODE USING BEZIER FUNCTIONS P.Venkataraman Rochester Institute of Technology...

... 14 07 2010 Bezier functions of two independent variables are excellent vehicles for three dimensional data reduction that require preservation of derivative content. They can be applied to both smooth and noisy data. They represent the original data with good fidelity...

... Bezier functions, which are Bezier curves constrained to behave like functions, are excellent for representing smooth and continuous function of high degree, over the entire range of the independent variable. They provide excellent solutions to systems of linear, nonlinear, ordinary and partial...

... 22 05 2009 This paper presents a methodology for generating solutions of non linear partial differential equations through Bezier functions. These functions define corresponding Bezier surfaces using a bipolynomial Bernstein basis function. The solution, or essentially the coefficients...

... 10 06 2008 This paper establishes a new class of analytical solutions for nonlinear boundary value problems defined by systems of ordinary differential equations. This class uses Bezier functions derived from Bezier curves. Three engineering examples, (1) a fully developed laminar flow...

... 09 06 2008 Solutions in basic polynomial form are obtained for linear partial differential equations through the use of Bezier functions. The procedure is a direct extension of a similar technique employed for nonlinear boundary value problems defined by systems of ordinary...