In this article, radial basis function collocation scheme is adopted for the numerical solution of fractional partial differential equations. This method is highly demanding because of its meshless nature and ease of implementation in high dimensions and complex geometries. Time derivative is approximated by Caputo derivative for the values of α ∈ 0 , 1 and α ∈ 1 , 2 . Forward difference scheme is applied to approximate the 1st order derivative appearing in the definition of Caputo derivative for α ∈ 0 , 1 , whereas central difference scheme is used for the 2nd order derivative in the definition of Caputo derivative for α ∈ 1 , 2 . Numerical problems are given to judge the behaviour of the proposed method for both the cases of α . Error norms are used to asses the accuracy of the method. Both uniform and nonuniform nodes are considered. Numerical simulation is carried out for irregular domain as well. Results are also compared with the existing methods in the literature.

In this study, the meshless collocation approach is used to determine the numerical solution the generalized time-fractional Gardner equation. The Crank-Nicolson technique is used to approximate space derivatives, whereas the Caputo derivative of fractional order is used to approximate the first order time fractional derivative. The numerical solutions, which show the method?s efficacy and accuracy, are pro?vided and discussed. The numerical solution shows that our method is effective in producing extremely accurate results.

Present experiment carried out at Vegetable Farm, FOA (SKUAS-K) Wadura, Kashmir (India) to determine the influence of Farmyard manure (FYM) and Zinc nutrition on pea productivity. The experiment was set up in Factorial RBD with sixteen treatments and three replications. Pea variety PS-1100 was taken as experimental material. Growth height, yield attributing characteristics, and pod yield were recorded and statistically analysed. Both Zinc and FYM nutrition treatments showed a substantial impact on plant growth, yield and yield attributing characters in pea. Results revealed that treatment combination of Zinc at 5 kg ha-1 + FYM at 350 q ha-1 outperformed than other treatment combinations in terms of maximum pods plant-1 (20.8), length of pods (9.4 cm), grain pod-1 (9.8), pod weight (12.7g) and pod yield (71.2 q ha-1). In conclusion, Zinc at 5 kg ha-1 + FYM at 350 q ha-1 is an effective dosage for maximizing pea pod production about 11.0 per cent greater than the control in Kashmir conditions.

In this work, numerical solution of multi term space fractional PDE is calculated by using radial basis functions. The fractional derivatives of radial basis functions are evaluated by Caputo and Riemann-Liouville definitions. Local radial basis functions are applied to get stable and accurate solution the problem. Accuracy of the method is assessed by using double mesh procedure. Numerical solutions are presented for different fractional orders to show the effect of introducing fractionality.