[PDF] Top 20 Solving damped wave equation using finite difference method and interpolation using cubic B-spline

... the method of finite difference and cubic B-spline are applied which is focuses in one dimensional damped wave ...in finite difference method ... See full document

... differential equation satisfied by a particular homogenous function can lead to the nonlinear Klein-gordon ...Klein-Gordon equation was investigated in different aspects in various numerical studies ... See full document

... Heat equation is part of partial differential equations where it supposes to be linear or non-linear ...heat equation can be solved either by analytical approximation or numerical approximation ...heat ... See full document

... Figure  compares the graphs of the exact and approximate solutions with different val- ues of γ , h and t at different time levels. The graphs show excellent agrement between the solutions. In Figure , we exhibit the ... See full document

... incorporating finite difference approach with exponential cubic B-spline and quantic B-spline had been developed to solve one- dimensional wave ...equation. ... See full document

... Transform Method [1-6], Bernoulli Polynomials [7], Adomain Decomposition Method [8-13], Block Method [14-16], Modified Picard Technique [17], Sinc Collocation Method [18], Runge-kutta 4 th ... See full document

... KdV equation is a one-dimensional nonlinear partial differential equation of third order, which plays a big role in the discussion of nonlinear dispersive ...This equation was primarily derived by ... See full document

... applying finite difference formula to time discretization and the cubic B-splines for spatial variable, a numerical method for solving the inverse system of Burgers equations is ... See full document

... MRLW equation, with a limited set of boundary and initial conditions, have been existed, many authors are recently interested in the numerical solutions of this ...MRLW equation using quintic ... See full document

... of cubic splines for the numerical solution of linear two point boundary value problems has been dis- cussed by Bickley [1], Fyfe [2], Albasiny and Hoskins [3] and Rubin and Khosla ...accurate cubic ... See full document

... septic B-spline functions in collocation method, of the modified equal width wave (MEW) equation, which was introduced by Morrison et ...MEW equation are known. Thus numerical ... See full document

... The B-spline wavelets used in this work have compact support, vanishing moments and also they are semi or- thogonal. These properties causes many of the operational matrix entries be very small compared ... See full document

... sorting difference algorithm combined with the non - dominated sorting genetic algorithm and the difference algorithm is used to optimize the target ... See full document

... aircraft using the nonlinear 6DOF model. Flying in steady state conditions is usually termed as trimmed ight. A question that arises here is that, given the physical limitations of the aircraft and its dynamics, ... See full document

... The sinc function is sinusoidal in behavior with each next sinusoidal peak having decreasing maximum amplitude; when starting from the zero axis and continued toward infinity in both directions. This feature makes the ... See full document

... Then there exists a unique spline sx S3,A precisely, bounds the same area as the function does, xi.. We need the follof lema for the proof of Theorem LMMA I.[r] ... See full document

... by interpolation using cubic splines ...sampling-based cubic spline interpolation (DSCSI) algo- rithm to reduce the size of the trajectory data on a “clickable ...the ... See full document

... for solving time-fractional ...tau method composed with the shifted Jacobi matrix for numerical treatment of second order fractional ...for solving fractional DWE was developed by Avazzadeh et ...for ... See full document

... IGA Method low number of an element, nodes/control points and degree of freedom is required for the same model than FEM ...both method it is concluded that for low no of elements, nodes and degree of ... See full document

... sub-intervals we have p + 1 data values. Then there exists a polynomial of degree at most p passing through the data points. The error in such polynomial approximation is proportional to a power of the distance (usually ... See full document