A posteriori analysis: error estimation for the eighth order boundary value problems in reproducing Kernel space

Numerical Solution of Fractional Order Burgers’ Equation with Dirichlet and Neumann Boundary Conditions by Reproducing Kernel Method

“…Many studies have been conducted by using reproducing kernel method. For instance, eighth order boundary value problems [28], fractional advection-dispersion equation [29], fractional order systems of Dirichlet function types [30], fractional order Bagley-Torvik equation [31], time fractional telegraph equation [32], a local reproducing kernel method for Burgers' equation [33], time-fractional partial integro differential equations [34], Riccati differential equations [35], nonlinear hyperbolic telegraph equation [36], time-fractional Tricomi and Keldysh equations [37], one-dimensional sine-Gordon equation [38], reaction-diffusion equations [39], integro differential equations of Fredholm operator type [40], fredholm integro-differential equations [41], nonlinear system of PDEs [42], class of fractional partial differential equation [43], Bagley-Torvik and Painlevé equations [44], nonlinear coupled Burgers equations [45] and so on [46][47][48][49][50][51][52][53][54][55][56][57][58][59].…”