Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations

Singularly perturbed boundary value problems (SPBVPs) for third order ordinary differential equations (ODEs) with a small parameter multiplying the highest derivative of the form:-@ey@?(x)+b(x)y^'(x)+c(x)y(x)=f(x),y(0)=p,y^'(0)=q,y^'(1)=r,where b(x),c(x)...

An initial-value technique is presented for solving singularly perturbed two-point boundary-value problems for linear and semilinear second-order ordinary differential equations arising in chemical reactor theory. In this technique, the required ...

In this article, we study the problem of determining an appropriate grading of meshes for a system of coupled singularly perturbed reaction-diffusion problems having diffusion parameters with different magnitudes. The central difference scheme is used ...