Efficient Hybrid Block Method For The Numerical Solution Of Second-order Partial Differential Problems via the Method of Lines

This study is therefore aimed at developing classes of efficient numerical integration schemes, for direct solution second-order Partial Differential Equations (PDEs) with the aid method lines. The power series polynomials were used as basis functions trial solutions in derivation proposed schemes via collocation and interpolation techniques some appropriately chosen grid off-grid points derivedschemes are consistent, zero-stable convergent. methods perform better terms accuracy than existing literature.