in this paper, we examine the effects of thermal radiation on co2 emission and o2 depletion in an exothermic reactive slab of combustible materials with uniform surface temperature. the governing equations for the nonlinear heat and mass transfer problem are derived and solved numerically using runge-kutta-fehlberg method with shooting technique. numerical expressions for temperature field, co2...

In the present article, a numerical method is proposed for the numerical solution of the KdV equation by using a new approach by combining cubic B-spline functions. In this paper we convert the KdV equation to system of two equations. The method is shown to be unconditionally stable using von-Neumann technique. To test accuracy the error norms L2, L∞ are computed. Three invariants of motion are...